**Problem Statement:**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.**Questions:**a. What is the distribution of $ X $? $ X \sim U(\_\_, \_\_) $ b. Suppose that 40 people are surveyed. What is the distribution of $ \bar{x} $ for this sample? $ \bar{x} \sim N(\_\_, \_\_) $ c. What is the probability that the average birth month of the 40 people will be more than 5.4?

Answered: a. What is the distribution of X? X - U…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a. What is the distribution of X? X - U b. Suppose that 40 people are surveyed. What is the distribution of for this sample? ~ N( > c. What is the probability that the average birth month of the 40 people will be more than 5.4?