A simple random sample of size 100100 is selected from a population with p=.40.p=.40

A simple random sample of size 100100 is selected from a population with p=.40.p=.40.

a. What is the expected value of p¯?
b. What is the standard error of p¯?
c. Show the sampling distribution of p¯.
d. What does the sampling distribution of p¯show?