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Using the binomial distribution, it is found that:

a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

Item a:

Supposing 5% defective, we have that [tex]p = 0.05[/tex].

The probability is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]

[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]

[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]

0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

Item b:

The mean is:

[tex]E(X) = np = 25(0.05) = 1.25[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]

The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

Item c:

20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]

The probability is:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]

[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]

[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]

[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]

[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]

[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]

[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]

[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]

Then:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]

0.8908 = 89.08% probability that more than 17 chips in the sample are good.

A similar problem is given at https://brainly.com/question/24863377

Answer:

A prospective study

Step-by-step explanation:

A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).

The type of observational study is  A prospective study.

We have given,

A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers.

It is the period before the disease begins to develop and provides the greatest opportunity for improving health.

A prospective study watches for outcomes, such as the development of a disease (in this case cancer).

It also involves taking a group of subjects and watching them over a long time period.

The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).

To learn more about the disease visit:

https://brainly.com/question/1382377

Answer:

yrdfcghftfc 6

Step-by-step explanation:

jhfbvnhjyffvb

Answer:

x = 50.5°

Step-by-step explanation:

Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.

cos(x) = 14/22

cos^-1 (14/22) = 50.5°

Answer:

always the same

Step-by-step explanation:

Answer: (-4, -6)

Step-by-step explanation:

Find the middle so find the averages of the x points and the y points

average of -6 and 2 is -4

average of -8 and -4 is -6

the point is (-4, -6)

Answer:

A

Step-by-step explanation:

Slope = (change in y)/ (change in x)

          = (-1 - 4)/ (8 - 3)

          = -5/5

          = -1

[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]

Answer:

5226.33 (approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

1/320

Fraction form 1/5 Decimal form 0.2

Step-by-step explanation:

hope this helps

Answer:

23 isnthe anseeerjfhdhvdvd hdjdbbe

Answer:

y ≤ -1/3x+80/9

Step-by-step explanation:

(1). 0.75(x)+2.25(y) ≤ 20

0.75 - Number of arcade games (X).

2.25 - Number of snacks (Y).

20 - The total.

(2). 0.75x+2.25y≤20

(After multiplying the x's and y's together, with the numbers).  

(3). 0.75x (-0.75x) + 2.25y ≤ 20 (-0.75x)

(Subtract -0.75x to each side, which allows the equation to get closer to the answer).

(4). 2.25y       -0.75x + 20

   ————   =   ————

    2.25            2.25

(Divide by 2.25 to each side).

(5). y ≤ -1/3x + 80/9

(The result and the inequality).

Answer: 171 attendees

Step-by-step explanation:

I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth.  It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.

For this problem, you have to find something called a unit price.

A unit price is the price in dollars per thing.

In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.

Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.

With this information, it is very straightforward to determine the number of attendees for $342.  Simply divide $342 by $2 to get 171 attendees.

I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.

Answer:

2x + 2y = 4  does not belong

Step-by-step explanation:

2x + y = 4     → y = -2x + 4

y = -2x + 4    → y = -2x + 4

f(x) = -2x + 4 → y = -2x + 4

2x + 2y = 4   → y = -x + 2

Answer:

Step-by-step explanation:

Answer:

57+20= 90 (false)

40+39= 79 (true)

Answer:

14 * 9(-9) - 8 = 1142               9 - 45(-3) + 7 = 151

Step-by-step explanation:

14 * 9(-9) - 8 = 1142               9 - 45(-3) + 7 = 151

(This one is true)                  (This one is false)

9514 1404 393

Answer:

  A. CCW 180° about the origin

Step-by-step explanation:

Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...

Answer:

B= 40 degress

Step-by-step explanation:

1x+ 5xc /3xc = 40

Answer:

eyes

Step-by-step explanation:

Answer:

the heart the brain the eyes

Step-by-step explanation:

Answer:

3 sets

Step-by-step explanation:

6+3 = 9 inches of wire

28/9 = 3 1/9

so 9 can go into 28 three times

so tammy can make three sets of neclaces and bracelets

Answer:

I think it was monday also

Answer:

The day of the week on Sam's 36th

day of vacation would be Tuesday.

Answer:

6.3

Step-by-step explanation:

1) rule:

[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2)}[/tex]

2) according to the rule above:

[tex]d=\sqrt{36+4}=2\sqrt{10};[/tex]

d≈6.3

Answer:

6.3

Step-by-step explanation:

Answer:

Plot the coordinate points and connect them with a smooth curve.

Hope This Help you po..

pa brainlest?

The equation for the graph is y = [tex]2(3)^{x} -5[/tex]  .

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

Standard exponential equation :

y = [tex]a(b)^{x} + k[/tex]

where a is the initial value

b represents the base of the exponential function

x will represent the input of the function

y = k is the single horizontal asymptote

k is  constant

According to the question

The figure in the graph is an exponential graph .

To derive the equation

we will use Standard exponential equation :

y = [tex]a(b)^{x} + k[/tex]  

Now,

There are two points in graph

(0.-3) and (1,1)

k = - 5  ( distance from 0)

now ,

Substituting the values

y = [tex]a(b)^{x} + k[/tex]  

y = [tex]a(b)^{x} -5[/tex]

for point   (0.-3)

-3 = [tex]a(b)^{0} -5[/tex]  

-3 = [tex]a -5[/tex]

a = 2  

for point   (1,1)

1 = [tex]2(b)^{1} -5[/tex]  

1 = 2b - 5

b = 3

Therefore , equation of exponential graph is  

y = [tex]2(3)^{x} -5[/tex]  

Hence ,The equation for the graph is y = [tex]2(3)^{x} -5[/tex]  .

To know more about Exponential Equations here:

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#SPJ3

Answer:

280

Step-by-step explanation:

400 - 120=280

280= number of children lost

Answer:

a. 115 degrees

b. 35 degrees

c. 30 degrees

Step-by-step explanation:

Answer:

6 to 11

Step-by-step explanation:

By definition,

the odds in favor of getting an extra turn =

(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =

6 to (17 - 6) =

6 to 11.

Answer:

Three billion eight million nine-hundred seven thousand eight.

Step-by-step explanation:

Write out each of the numbers.

Answer:

0.454...

Step-by-step explanation:

Answer:

0.020

0.0200

Step-by-step explanation:

Because there's always an imaginary 0 at the end, so there are infiite equivalant answers to this.

Hope this helps, and stay safe!! :))))

Answer:

x^3 + 3x^2 + 4x = 0

0^3 + 3(0)^2 + 4(0) = 0

Step-by-step explanation:

x = 0