What is the probability that the sum of two dice will be less than 5? How many throws will it take you to hit your first "bullseye" on a dart board? Use discrete probability distributions to find out!

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.

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