Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 40 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible.

a. What is the distribution ofX?X~ U(_________,___________) Suppose that 40 children from the school are surveyed.

Then the sampling distribution is

b.What is the distribution ofx? x~ N(_________,_________)

c. What is the probability that the average of 40 children will be between 8 and 8.7 years old?(________)