Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation?

Answers

Answer 1

Answer:

0.121

Step-by-step explanation:

From the given information:

Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)

To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:

[tex]\mu_x = E(X)[/tex]

[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]

[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]

[tex]\mu_x =3.5[/tex]

The standard deviation is :

[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]

[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]

[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]

[tex]\sigma _x = 0.892[/tex]

However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :

[tex]X \geq \mu_x +\sigma_x[/tex]

[tex]X \geq 3.5 +0.892[/tex]

[tex]X \geq 4.392[/tex]

[tex]X \geq 5[/tex]

[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]

[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]


Related Questions

Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.​

Answers

the answer is x = 6 + 5y

describe and correct the error in the solution. (Be specific and explain as
much as you can. What is the correct solution?) *
5(p+3) > 4p + 2
5p+3 > 4p + 2
5p > 4p - 1
p>-1

Answers

The error occurred in step 2. You have to use the distributive property for the parenthesis. It is supposed to be 5p+15.

The correct solution is p>-13.

Solve for x: 3 < x +3 < 6

Answers

Answer: 0< x < 3

Step-by-step explanation:

Hope this helps!

Help me please !!!!!!!!!!!!

Answers

22

180-157=22

Please mark me as the Brainliest.

Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.

Answers

Answer:

what's the question

Step-by-step explanation:

I guessing the question is how many months so I would say six because you divide 200. By 25 and get eight and since 50 is worth two months then you take away two from eight and you get 6

Somebody, please help me. Please show the work too

Answers

Answer:

x = 48

Step-by-step explanation:

0.75x - 9 = 27 / + 9

0.75x = 36 / : 0.75

x = 48

If LN=6x-35 and MN=19 and LM=5x-9,find x.

Answers

The answer is x=45. Hope this helps!


Anya's team won 5 out of every 7 games this season
If the team played 28 games this season how many games did they win?

Answers

Answer:

19 games won

Step-by-step explanation:

71 percent times 28 equals 19

Find the inverse of the function. Show work.
g(x)= - 3/x-2 +2

Answers

Answer:

[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]

Let's find the inverse of g.

Call y=g(x):

[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

[tex]y(x-2)=-3+2(x-2)[/tex]

Operate:

[tex]yx-2y=-3+2x-4[/tex]

Collect the x's to the left side and the rest to the right side of the equation:

[tex]yx-2x=-3-4+2y[/tex]

Factor the left side and operate on the right side:

[tex]x(y-2)=-7+2y[/tex]

Solve for x:

[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]

Interchange variables:

[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]

Call y as the inverse function:

[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]

Factorise : (5a-3b)2-1662​
pls give step by step

Answers

Answer:

6165421

Step-by-step explanation:

whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.

Using the diagram below, what is the horizontal distance between the control tower and the plane?

Answers

Answer:

x = 664.093 m

Step-by-step explanation:

tan∅ = opposite over adjacent

Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):

Our theta (∅) = 52°

Our opposite = 850 m

Our adjacent = x m

tan52° = 850/x

xtan52° = 850

x = 850/tan52°

x = 664.093 m

Verify the identity.

cot(x - pi/2) = -tan x

Answers

Use property...

cot(a+b)=cot a cot b - tan a tan b

a=x b=pi/2

Left side --> cot x+pi/2)=cot x cot (pi/2)  - tan x tan (pi/2)

= cot x * 0 - tan x  * 1

=0 - tan x

=- tan x

= Right side  

Determine the correct answer when you round to the nearest hundred. "5,264"
I need an answer as soon as possible, please.

Answers

Answer:

5,300

Step-by-step explanation:

5 or more raise the score, 4 or less let it rest.

Answer:

5,300

Step-by-step explanation:

buddy im not sure if this is right but i want you to knwo that no one is perfect and i tried plz and thank you

what is the answer ?

Answers

Answer:

b. 5i sqaure root 2

Step-by-step explanation:

first bring out the I then take out the five.

All of the following expressions are equivalent except _____.

x + (-2)
-2 + x
x - 2
2 - x

Answers

The final one, as all of the twos are negative in the other options

The sides of two similar polygons are in the ratio of 5 : 2. If the area of the smaller polygon is 576 ft2 , what is the area of the larger polygon?
I got 1,440 ft. Is this right?

Answers

Answer:

No, 1440 is wrong. The correct answer is 3600

Step-by-step explanation:

A = [tex]a^{2} / b^{2}[/tex]  

{(5) / (2)} ^ (2) * 576

25 / 4 * 576

3600

what is a rational algebraic expression?​

Answers

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions

who can answer this?????

Answers

Answer:

All is the answer

Step-by-step explanation:

Answer:

Its all.

Step-by-step explanation:

Natural numbers mean terminating numbers.

4. Show that Polygon A is congruent to Polygon B.

Answers

A is equivalent to B because if you flip or reflect A, then translate A it overlaps.  

1. Draw A's reflection below it: as if you flipped it.

2. Take the drawing and draw it mirroring B

3. Once you draw the second drawing if you moved, translated, it it would fit over the shape of the B polygon.

8,3,9,4,10,5 what are the following numbers and explain the pattern

Answers

Answer subtract 5, add 6

Step-by-step explanation:

8-5=3

3+6=9

9-5=4

and so on

Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.
Write an equation that represents the given relationship.

Answers

Answer:

$8.50hr+ $100=x

Step-by-step explanation:

His $8.50 per hour is given to him plus $100 bonus.

what the person before me said

por favor ayúdeme!!​

Answers

Answer:

CHEEEEEEEEESE

Step-by-step explanation:

Use the relation {(3,5),(-4,6),(3,8), (2,4), (1,3). I need help finding the domian and the range!

Answers

Answer

-4    3

1      4

2      5

3      6

3       8

Step-by-step explanation:

hope this helps

A store sells jump ropes. Each jump rope costs the same ammout. During a sale the store reduces the price of each jump rope by $1.80. gavin spends $14.38 on 2 jump ropes what was the price of the 1 jump rope before the sale

Answers

Answer:

pp

Step-by-step explanation:

Answer:

Before the sale each jump rope costed $8.99

Step-by-step explanation:

If you divide $14.38 by two you get $7.19. Then if you add the $1.80 you get $8.99

Reduce the fraction to lowest terms. x^3-x^2/x^4

Answers

Answer:

x^3-x^2

_______ =  x - 1 / x^2  (simplified by x^2)

x^4 ...?

ANSWER FAST ILL GIVE BRAINLIEST
1. is -50.1 rational or irrational
2. is -50/2 rational or irrational

Answers

Answer:

both are rational

Step-by-step explanation:

They are both represented as ab or a/b

Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.

Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.

Q: What is the largest number of slices that Jacque can afford?

Answers

Lets answer the information by making it look like a budget subtraction:

60 = Total

1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.

60 - 7.50 = 52.50

2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.

52.50 - 14 = 38.50  Pizza 1

38.50 - 14 = 24.50  Pizza 2

24.50 - 14 = 10.50  Pizza 3

Now, theres not enough to buy another.

So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.

3. Multiply the number of slices by the number of pizzas.

8 x 3 = 24

So, the largest number is 24 slices.

Answer:

60

Step-by-step explanation:

How do you solve this equation? x/2 - x = x/4 + 6

Answers

Answer:

x= - 8

Step-by-step explanation:

multiply both sides by 4 to get rid of the fractions. you should then get:

2x-4x=x+24

then get all the x terms to one side by subtracting by x on each side:

2x-4x-x=24

then simplify:

-3x=24

divide by -3 on each side:

x= - 8

pls help if u can. ty :)​

Answers

Answer:

1. [tex](x+\frac{3}{2})^{2} -\frac{41}{4} }[/tex]

Step-by-step explanation:

what is the measure of <4?

Answers

Answer:

i not sure but  i think its 125

Step-by-step explanation

60% sure is 125

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