1. In 2014, the Pew research center reported" 72% of Americans say they believe in heaven defined as a place "where people who have led good lives are eternally rewarded"

a. What is the probability that a randomly selected person does not believe in heaven?

b. If we take a random sample of n persons and observe how many of them believe in heaven show how this has the features of a Binomial random process

c. In a random sample of 36 people, how many do we expect to believe in heaven?

d. Suppose we take a random sample of 36 people, what is the probability that more than 30 people believe in heaven?

e. Suppose I take a random sample of 36 Americans who claim Jewish affiliation. I find 14 of them believe in heaven. What would you conclude about American Jewish beliefs about heaven compared to the rest of the US. (Hint: use binomial distribution and find the probability that 14 or fewer people believe in heaven and interpret this probability to answer the question). Use excel

f. Use the normal probability distribution to approximate the same probability as what you calculated in part e.