SOLUTION: Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. A) What is the dis

Question 1200154: Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible.
A) What is the distribution of X? ~ U
(0,12)
Correct

B)Suppose that 40 people are surveyed. What is the distribution of
_
X ~ N
( , ) ?
C)What is the probability that the average birth month of the 40 people will be more than 5.5?
* I got part A correct but I don't understand how to solve letter B and C. I also have been using a TI-84 Calculator for these problems.

Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12.
Round all answers to 4 decimal places where possible.
A) What is the distribution of X? ~ U
(0,12)
Correct

B)Suppose that 40 people are surveyed. What is the distribution of
_
X ~ N
( , ) ?
C)What is the probability that the average birth month of the 40 people will be more than 5.5?
* I got part A correct but I don't understand how to solve letter B and C. I also have been using a TI-84 Calculator for these problems.
~~~~~~~~~~~~~~~~~~~

I do not agree that this random variable X is uniformly distributed [0,12] inclusive.

It is a discrete random variable uniformly distributed [1,12] inclusive, instead.

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As a remainder:   there are 12 months in a year, and they are traditionally numbered from 1 (January) to 12 (December).

Thank you for your attention.

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I also noticed that your computer program says " Correct " on your answer (A).

It means that this program is DEFECTIVE.   Report about this bug to upper instances.

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