Suppose a manufacturer finds that 95% of their production is normal but the final 5% has one or more flaws. Each flawed good has a financial cost to the firm of $1. The manufacturer tasks a team led by you, the manager to identify the likelihood of upcoming flaws by providing your best expectation. Here is what you found by reviewing past production.Of the flawed goods:80% show Type 1 flaws.50% show Type 2 flaws.30% show both Type 1 and Type 2 flaws.1. Make a Bivariate Table using the above data.2. What is the probability and expectations of type 1 flaw?3. What is the probability and expectation of Type 2 flaw?4. What is the probability and expectations of Type 1 and 2 flaws?5. What is the probability and expectations of no flaws?

Answers

Answer 1

Answer:

1)    

FLAW                         TYPE2         NO TYPE2 FLAW

TYPE1                         0.015           0.025

NO TYPE1 FLAW        0.01             0.95

2) 0.04 and $0.04

3) 0.025 and $0.025

4) 0.015 and $0.015

5) 0.95 and $0.95

Step-by-step explanation:

Given that;

financial cost = $1

p(flaw) = 0.05  

p(type 1 flaw / flaw) = 80% = 0.8

p(type 2 flaw / flaw) = 50% = 0.5

p( type 1 and 2 flaw/flaw) = 30% = 0.30

1) Bivariate Table

p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04

p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw)  = 0.05 × 0.5 = 0.025

p( type 1 and 2 flaw) =  p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015

p( only 1 flow) = 0.04 - 0.015 = 0.025

p( only 2 flow) =  0.025 - 0.015 = 0.01

THEREFORE  the Bivariate Table;

FLAW                         TYPE2         NO TYPE2 FLAW

TYPE1                         0.015           0.025

NO TYPE1 FLAW       0.01              0.95

2) probability and expectations of type 1 flaw?

p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04

Expected financial cost to the firm per good = $1 × 0.04 = $0.04

3)  probability and expectation of Type 2 flaw

p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw)  = 0.05 × 0.5 = 0.025

Expected financial cost to the firm per good = $1 × 0.025 = $0.025

4) probability and expectations of Type 1 and 2 flaws

p( type 1 and 2 flaw) =  p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015

Expected financial cost to the firm per good = $1 * 0.015 = $0.015

5) probability and expectations of no flaws?

Probability of no flaw = P(No flaw) =95% =  0.95

Expected financial cost saved the firm per good due to no flaw

= $1 × 0.95 = $0.95


Related Questions

if 9√x=√12+√147,then x is equal to​

Answers

Answer:

[tex]9 \sqrt{x} = \sqrt{12} + \sqrt{147} \\ = > \sqrt{x} = \frac{ \sqrt{12} + \sqrt{147} }{9} \\ = > x = {(\frac{ \sqrt{12} + \sqrt{147} }{9} )}^{2} \\ = > x = ( \frac{15.58}{9} )^{2} \\ = > 3[/tex]

match the simplified expression to an equivalent expression 2t -9 2t-t

Answers

Answer: your trying to find an ecuagan to match the one it is saying so you can do 2t-8-3t which equals 13 just like the ecaution shown 2t-9-2t also equals 13

Step-by-step explanation: I hop this helps :D :) :)  have a good day you guys/peeps

Answer:

I am wondering if this is the same problem but here anyways.

Step-by-step explanation:

Find the absolute value. |9|=???

Answers

The absolute value of 9 is 9.

Find all solutions in the interval [0, 2π).

2 sin^2 x = sin x

Answers

Answer:

0, π, 2π, π/6 and 5+(π/6)

Step-by-step explanation:

Rearranging, sinx (2 sinx - 1) = 0.

In [0, 2π],sin x = 0 for x = 0, π and 2π.

The other factor = 0 gives the other two solutions.

sin 5+(π/6) = sin (π−(π-6)) = sin π/6 = 1/2.

If M is the midpoint of AB and AM = 3x -1 and AB =5 x + 2, find x, AM, MB, and AB.

Answers

AB = 2x + 3

Just subtract the 3x - 1 from 5x + 2 = 2x + 3 is AB

x = 2

AB = 12

MB = 7

AM = 5

Hope this helps.

If you do this, I'll give you the crown.
Solve each problem.
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?


Answer:

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?


Answer:

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?


Answer:

Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.

Equation:


Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).

Equation:


Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.
(copy & paste)

Henry:

Grace:



Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

Answers

The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?

5 sticks / 2 bottles

25 sticks / x bottles

10 bottles

Answer:  10 bottles

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?

8 finished

4 finished / 1 left

8 finished / 2 left

10 total

Answer:  10 total problems

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?

7 sugar / 3 flour

63 oz sugar / x oz flour

27 oz flour

Answer:  27 oz flour

Write an equation for each using the variables provided.

For each pound there are 16 ounces.

Write an equation to express the total number of ounces (Z) in (Y) pounds.

1 lb / 16 oz

Z = 16Y

Equation:  Z = 16Y

Every dollar is 4 quarters.

Write an equation to express the total number of quarters (Q) in dollars (D).

1 dollar = 4 q

Q = 4D

Equation:  Q = 4D

Word Problems. You must show your work and answer to get full credit.

Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.

(copy & paste)

( H - 28 ) / ( G - 16 ) = 2 / 5

H - 28 = 2

H = 30

G - 16 = 5

G = 21

Henry:  30

Grace:  21

Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

3 clerks take 12 days to write 6 docs

1 clerk takes 4 days to write 2 docs

2 clerks take 8 days to write 4 docs

8 : 4

3/4 * ( 8 ) : ( 4 ) * 3/4

6 : 3

6 days

Which shows one way the equation can be represented in words? Z-6=14

A.The dfference of a number and z is the same as one and four-tenths.

B.Anumber subtracted from one and four-tenths is equal to six.

C.Six less than a number is the same as one and four-tenths.

D.Sx decreased by a number is equal to one and four-tenths.​

Answers

C. six less than a number is the same as one and four-tenths

Answer:  c

Step-by-step explanation:

c is the answer

Simplify
(6 + 4i) + (8 - 91) + (-2 + i)

Answers

Answer:

-79 + 5 i

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(6+4i)+(8-9i)+(-2+i)

6+4i+8-9i-2+i

6+8-2+4i-9i+i

12-4i

Kelly and Mitchell work together. Kelly works 9 hours. Mitchell works 15 hours. How many years of experience could each person have?

Answers

Answer:

You don't know

Step-by-step explanation:

They don't mention any part of experience. Kelly and Mitchell just worked. Plus, you don't know how much experience of years.

A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 16 bars from one day's output of 4000 bars. The average weight of the 16 bars is only 48.5 grams. The inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day against the alternative that the company is cheating the consumer. Assume that the weights of all the candy bars that are produced follow the normal curve with a SD of 2 gram(s).
Which significance test should be used?
A z test because the SD of the population is known and the weights follow the normal curve. You are correct. Computer's answer now shown above Previous Tries Your receipt no. is 159-2320
Do you need to use SD+ o estimate the SD of the population?
No, we're given the SD of the population, we don't need to estimate it. Incorrect.
Computer's answer now shown above ries 1/1 Previous Tries
Compute SE. (Give your answer as a decimal to two places) Submit Answer Tries 0/5
Compute the test statistic. (Round your answer to two decimals, using previously rounded answer.) Submit Answer Tries 0/5
What do you conclude?
A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.
B. Cannot reject the null, it's plausible that the factory is making the bars 50 grams as they claim to be doing. Submit Answer Tries 0/1

Answers

Answer:

Question 1

The correct option is  A

Question two

 The correct option is B

Question three

   [tex]SE= 0.5[/tex]  

Question four

   [tex]z = - 3 [/tex]

Question five

The correct option is A

Step-by-step explanation:

   The population mean is  [tex]\mu =  50 \ grams[/tex]

   The sample size is  n = 16

   The population size is N  = 4000

   The sample mean is  [tex]\= x  =  48.5 \grams[/tex]

   The standard deviation is [tex]s  =  2 \ gram(s)[/tex]

Considering the first question

 The correct option is  A

z test because the SD of the population is known and the weights follow the normal curve

Considering  the second question

The correct option is  B

Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.

Considering  the third question  

   Generally the standard error is mathematically represented as

         [tex]SE= \frac{s }{\sqrt{n} }[/tex]

=>      [tex]SE= \frac{2 }{\sqrt{16} }[/tex]

=>       [tex]SE= 0.5[/tex]    

The null hypothesis is  [tex]H_o :  \mu  =  50[/tex]

The alternative  hypothesis is  [tex]H_a :  \mu  <  50[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ \= x  - \mu  }{ SE }[/tex]

=>    [tex]z = \frac{ 48.5 - 50 }{ 0.5}[/tex]

=>   [tex]z = - 3 [/tex]

Generally the p-value is mathematically represented as

     [tex]p-value  = P(Z <  z )[/tex]

=>  [tex]p-value  = P(Z <  - 3  )[/tex]

From the z-table the

    [tex]P(Z <  - 3  ) =0.0013499[/tex]

=>  [tex]p-value  = 0.0013499[/tex]

From the obtained values we see that

  [tex]p-value  <  \alpha[/tex]

So we reject the null hypotheses

The conclusion

it's very unlikely that the factory is making the candy bars 50 grams as they claim

Testing the hypothesis, we have that:

The standard error is of 0.5.The test statistic is z = -3.A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.

At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:

[tex]H_1: \mu < 50[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16[/tex]

Hence, the standard error is:

[tex]S_e = \frac{2}{\sqrt{16}} = 0.5[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{S_e}[/tex]

[tex]z = \frac{48.5 - 50}{0.5}[/tex]

[tex]z = -3[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.

A similar problem is given at https://brainly.com/question/14983950

What quadrant would the triangle be in after a rotation of 90 counterclockwise about the origin?

Answers

Answer: Quadrant IV
It rotates to the right side once

What is the reflection image of (4, -1) across line y=x?

a
(-1,4)
b
(-1,-4)
c
(1,-4)
d
(-4,1)

Answers

Answer:

I think it is a. (1,-4) b. (1,4) c. (-1,4) and d. (4, -1)

Step-by-step explanation:

Im sorry if this did not help you but I tried.

Answer:

A (-1, 4)

Step-by-step explanation:

When you reflect over the y=x line the rule is that the Y and X switch places. So, (4, -1) ---> (-1, 4)


Last night, Hailey spent 1 2/5 hours on her math
homework, then 45 minutes on her science
homework. What is the total time she spent doing her
math and science homework? Write your answer in a
complete sentence.

Answers

Answer:

a = 2 hours and 9 minutes

Explanation:

(using fractions)

45 minutes + 1 2/5 hours = 3/4 hours + 7/5 hours = 15/20 + 28/20 = 43/20 = 2 3/20 = 2 9 /60 = 2 hours 9 minutes.

(using decimals)

45 minutes + 1 2/5 hours =

0.75 hours + 1.4 hours = 2.15 hours = 2 hours 9 minutes.

since .15 × 60 = 9 .

Also keep in mind that there are 60 minutes in an hour.

Answer:2 3/20

Step-by-step explanation:

1 2/5 + 45(3/4)

=2 3/20

If (6, -5) is reflected across the y = -x the new point would be:

A.
(-5, -6)

B.
(5, -6)

C.
(5, 6)

D.
(-5, 6)

Answers

A (-5,-6)
The reflection of the point (x,y) across
the line y = -x is the point (-y, -x).

A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12)?
VX
O y=-5x+12
O 5x+y=12
O y-12=5(x-0)
O 5x+y=-1

Answers

Answer:

Step-by-step explanation:

y=-5x+12

10x+2y=-2

Subtract 10x to the other side of the equation and you will get 2y=-10x-2

Then divide both side by 2 to get y by itself

It will lead you to y=-5x+1

Notice that your point is (0,12) and it says parallel so you will keep your slope but your y-intercept will change

Final answer: y=-5x+12

I believe it's y= -5x+12. I really hope this helps. Happy schooling!!

For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life.

When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?

Answers

Answer:

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

Step-by-step explanation:

Which relation is not a function?
Please help it is a quiz and I really need help! 5:06pm est answer as fast as you can!

Answers

Answer:

b

Step-by-step explanation:

B! is the right one!!

What is the value of h(3)?

Answers

The answer is 3h, I hope this helps.

Suppose 1 in 10 people on campus have blonde hair. In 20 random encounters, what is the probability of meeting at least one person with blonde hair?

Answers

Answer:

2/20 people

Step-by-step explanation:

that should be right

If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 7700 extra calories will translate into a weight gain of 1 kilogram. Therefore, we expect each of these subjects to gain 56000/7700=7.3 kilograms. The weights in kilograms before and after the 8-week period are shown below:

ID: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Before: 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8
After: 61.7 58.8 66.0 66.2 79.0 82.4 74.3 59.3 79.1 67.0 73.4 76.9 93.1 63.0 68.3 60.3



(1) For each subject, manually calculate the weight gain subtracting the weight before from the weight after.

Answers

1,346 calories hope this helps

A biker rides for h hours at a speed of s miles per hour and travels d miles. Which equation models the relationship?

Answers

Answer:

hs=d

Step-by-step explanation:

Answer:

hs= d

Step-by-step explanation:

Convert the decimal 0.92¯¯¯ to a fraction.

Question 4 options:

83100

8390

839

9299

Answers

Answer:

83/90

Step-by-step explanation:

you need to multiply the variable by 10. x =

0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90

The decimal 0.92¯¯¯ is equal to the fraction 92/99.

So, the correct answer is 92/99.

Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,

To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:

Let's represent 0.92¯¯¯ as x.

Step 1: Multiply x by 100 to remove the repeating decimal:

100x = 92.92¯¯¯

Step 2: Subtract x from 100x to eliminate the repeating decimal:

100x - x = 92.92¯¯¯ - 0.92¯¯¯

99x = 92

Step 3: Divide both sides of the equation by 99 to solve for x:

x = 92/99

Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.

So, the correct answer is 92/99.

Learn more about Repeating decimal click;

https://brainly.com/question/32304269

#SPJ2

6. You bought the meat for Saturday's cookout. A package of hot dogs cost $1.60 and a
package of hamburger cost $5. You bought a total of 8 packages of meat and you spent $23.
How many packages of hamburger meat did you buy?

Answers

A lot

Step-by-step explanation:

Please help me would be greatly appreciated.

Answers

The answer is B but don’t be mad if it’s wrong

Wendy walks 2 miles in 22 minutes. She continues to walk at the same rate. How many minutes will it take her to walk 11 miles? Use a double number line to support your answer.

Answers

Answer:

121 minutes

Step-by-step explanation:

First, we divide the time by the miles

22 ÷ 2 = 11

So now that we have the unit rate, 1 mile for every 11 minutes, we can multiply 11 (the unit rate minutes) by 11 (the given miles she wants to reach)

11 x 11 = 121

So, in 121 minutes, Wendy can walk 11 miles.

(the double number line will look something like this, but going all the way until 121:11)

Which graph matches the exponential function f(x) = 2(1.5)x?

Answers

The third one pls mark me brainliest

Answer: its nit the 3rd one i just took the test

Step-by-step explanation:

Find:1/15÷4/120
Select one:
A. 4
B. 1
C. 3
D. 2​

Answers

Answer:

D) 2

Step-by-step explanation:

1/15×120/4

1/15×30

1×2

2

The answer is D. 2
Hope this helps :)

What is the distance between points (13,1) and (9,-4)

Answers

Answer:

5/4

Step-by-step explanation:

y2 -y1    -4-1=-5

x1 -x2     9-13=-4

What is the pattern in the numbers 2,3,5,7,11,13

Answers

Answer:

the number that repeat is number 2

Answer:

+1+2+2+4+2

Step-by-step explanation:

need help on this also please...

Answers

Answer:

3

Step-by-step explanation:

Step 1:

y = 3x + 4/5        Equation

Step 2:

y = mx + b      Slope Intercept Form

Step 3:

m = Slope

Answer:

Slope = 3

Hope This Helps :)

Answer:

[tex]\boxed {\tt m=3}[/tex]

Step-by-step explanation:

The equation of the line is in slope-intercept form which is:

y=mx+b

The coefficient of x is the slope.  The number that is added or subtracted from the term with an x is the y-intercept.

The equation we are given is:

y=3x+4/5

3 is being multiplied by x. 4/5 is being added to 3x.

Therefore, the slope is 3 and the y-intercept is 4/5.

The slope of the line y=3x+4/5 is 3

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I burned to say if but one word, by way of triumph, and to render doubly sure their assurance of my guiltlessness.Which statement best compares these two excerpts?The arrival of the police officers adds a supernatural element to the narratives.The arrival of the police officers increases the tension and suspense in the narratives.The arrival of the police officers increases the element of horror in the narratives. The arrival of the police officers adds an unexplained event to the narratives. Help please............................ Justin wanted to explain the water cycle to his class. He created a chart with labels and illustrations just type something random so you can have the point :) What is the main difference between the atoms in a solid versus atoms in a 1 pointliquid? An airplane travels east with a velocity of 90 m/s. How long does it take the airplane to cover a distance of 405 meters?A. 4.5 secondsB. 60.0 secondsC. 90.0 secondsD. 3.0 seconds The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50 How do I write the number 17,497,403 well i know how to do it inside standard but my equation says Write the number Seventeen million, four hundred ninety-seven thousand, four hundred three in standard form and expanded form using multiplication. And I dont know how to do that explain why medicines like antibiotics do not work against viruses. What does the swimming pool mean to zima PLEASE HELP!! IN A HURRY! 13 POINTS!! SCIENCE!! WILL GIVE BRAINLIEST!! Brigitte (1) (2) . Elle et Paul, un (3) , (4) tudiants (5) de Laval. Ils (6) (7) . Paul est tudiant en (8) et Brigitte, en (9) (10) . Dans le cours de franais, il y a des (11) et des (12) ; il y a aussi une (13) et une (14) . Les tudiants sont trs (15) , (16) et (17).