Show work! Suppose a random variable X follows a binomial distribution with p = 0.5 and n = 4. Question 1: What is the probability that X = 0?

Show work!

Suppose a random variable X follows a binomial distribution with p = 0.5 and n = 4.

Question 1:     What is the probability that X = 0?

Question 2:     What is the probability that X = 1?

Question 3:   What is the probability that X = 2?

Question 4:   What is the probability that X = 3?

Question 5:   What is the probability that X = 4?

Question 6:   What is the expected value for X?