9. A pet supplier has a stock of parakeets of which 30% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?
10. Why is the following distribution not a probability distribution?
x -5 -4 -3 -2 -1
P(x) 0.19 0.16 –0.10 0.48 0.27
11. On a Saturday evening, 34% of the people in Chicago go out to dinner, 18% see a movie, 13% have a party, and 35% stay home. Seventeen people are randomly selected. Can the probability that exactly 4 of them stay home be computed using a binomial model?
12. There are 50,000 people at a stadium watching a soccer match, and 40,000 of them are male. If 2 people are chosen at random, what is the probability that both of them are male?
13. What probability value would complete the following probability distribution?
x -3 -2 -1 0 1 2
P(x) 0.09 0.21 -0.02 p 0.17 0.25
14. A university has 10,000 students of which 6000 are male and 4000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.