Discrete Mathematics
# Discrete Probability Distributions

A basketball player is practicing 3-pointers. If the probability that he successfully scores each shot is $\frac{4}{5},$ what is the expected value of the points he scores after throwing $100$ shots?

**Note:** The player scores 3 points for each successful shot.

A basketball player is practicing 3-pointers. If the probability that he successfully scores each shot is $\frac{3}{5},$ what is the variance of the points he scores after throwing $800$ shots?

**Note:** The player scores 3 points for each successful shot.