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

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

the third side must be less than the sum of the other 2 sides.

(if this question is from k12 lesson check)

Which one should I choose

Answers

Answer:

100% B

Step-by-step explanation:

Answer:

The first choice: x^6y^5

Step-by-step explanation:

When you multiply exponential you add the exponents.

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

__________________________________________________________

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 :)

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.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.

Answers

Answer:

both ends go up

Step-by-step explanation:

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

Answers

Answer:

5m+14

Step-by-step explanation:

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