For a binomial distribution:
a. Why do not you just construct the probability tree to find the probabilities?
b. How do you find the mean and the standard deviation?
c. How do you find the probability that X is equal to some number?
d. How do you find the exact probability that X is greater than or equal to some number?
e. If n is a large number, how do you find the approximate probability that X is greater than or equal to some number?