A basketball team's star 3-point shooter takes six 3-point shots in a game. Historically, she makes 40% of all 3-point shots taken in a game. State at the outset what assumptions you have made.
a. Find the probability that she will make at least two shots.
b. Find the probability that she will make exactly three shots.
c. Find the mean and standard deviation of the number of shots she made.
d. Find the mean and standard deviation of the total number of points she scored as a result of these shots.