1. The probability distribution of rolling a 1, up to 5 times. What is the expected number of times rolling a 1.

2. a. Lily has a 47% chance of missing a basketball shot. What is the probability of scoring their first shot on their 8th try?

b. What is the expected number of missing a shot before she finally scores a shot?

c. What is the probability of scoring on either the 1st, 5th, or 7th try?

3. a. A box of chocolates contains 6 kitkats, and 12 aeros. If 7 chocolates are chosen at random, what is the probability that 5 chocolates will be kitkats?

b. b. How many aeros should you expect to see out of the 5 chocolate chosen?

c. What is the probability of at least 3 kitkats and 1 aero benign chosen out of the 5 chocolates?

4. Explain similarities and differences between the four types of probability distributions. Provide examples for each.

5. In the spring, biologists caught 321 wolves in a wilderness area. These animals were measured, tagged, and then released. The biologists caught 85 wolves during the summer and found that 20 had tags. Determine the expected wolf population in this wilderness area.