The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles

Answers

Answer 1

Answer:

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) = 0.975

Step-by-step explanation:

Step(i):-

The mean number of miles between services

                   μ= 3408 miles  

The Variance of miles between services

                σ² = 249,001

                σ = √249,001 = 499

Let 'X' be a random variable in a normal distribution

Given sample size 'n' =36

Step(ii):-

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

          Z = -163/83.16 = 1.96

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245)  =   P(Z≤1.96)

                   =   0.5 + A(1.96)

                   =  0.5 + 0.4750

                  =   0.975

Final answer:-

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) =0.975

           

         

         


Related Questions

YO NEED SOME HELP ON THIS END OF GRADE SOON!!

Answers

Answer: b

Step-by-step explanation:

Cuz is a negative get in absolute value it always comes out positive

And it says below 0-9=-9

Answer:

B

Step-by-step explanation:

__________________________________________________________

B is the answer because,

if the negative sign is not inside the "brackets," then the number will still be negative.

__________________________________________________________

But, if the negative sign is connected to the number, or inside the "brackets," then it will always be positive.

__________________________________________________________

Here are the reasons why the rest are wrong.

__________________________________________________________

A is not correct because the outcome isn't negative, even though it's correct in mathematical instances.

__________________________________________________________

C is not correct because it is plainly not correct in itself.

__________________________________________________________

D is also not correct because it is not correct in the mathematical equations, even though it has a -9 as the equal, it's still wrong.

__________________________________________________________

Hope this helps! <3

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What is the answer for 2m + 3m + 8 + 6

Answers

Answer:

5m+14

Step-by-step explanation:

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Answer:

100% B

Step-by-step explanation:

Answer:

The first choice: x^6y^5

Step-by-step explanation:

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Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
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C. Both ends go up.
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Answers

Answer:

both ends go up

Step-by-step explanation:

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm

Answers

Answer:

  6  <   third side    <   14

Third side must be greater than 6 and less than 14

Step-by-step explanation:

A triangle can be formed from 2 sides of any length.

The third side must be longer than the difference of the other 2 sides and

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(if this question is from k12 lesson check)

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