The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw attempts. Assume each free throw attempt is independent. Suppose you watch Stephen Curry shoot 16 free throws. (a) Calculate the probability that he makes exactly 11 of the 16 free throws. (b) Calculate the probability that he makes more than 14 of the 16 free throws.

Joe decided to spend his day fishing. He knows that the probability that a single cast will be a success and catch a fish is 0.10 and the probability of a successful cast stays constant no matter how many times he casts. a. If he casts 10 times, what is the probability that he will catch exactly 1 fish? b. What is the probability of catching his first fish on the 10th cast? c. What is the probability of catching exactly 2 fish from 10 casts? d. What is the probability of catching his second fish on the 10th cast? e. The probability distribution used for a. is which case below: Bernoulli, Binomial, Geometric, Negative Geometric, Hypergeometric, Poisson, Uniform, Normal, Multinomial or something not in this list f. The probability distribution used for b. is which case above? g. The probability distribution used for c. is which case above? h. The probability distribution used for d. is which case above?

A basketball player has a free throw percentage of 98%. What is the probability he misses at least one of his next 20 free throws?

Robby wins 2 out of every 3 chess matches he plays with Marlene. What is the probability that he wins exactly 5 of the next 6 matches