1- Studio and Genre of Movies About 20% of movies coming out of Hollywood are comedies. Warner Bros has been the lead studio for about 10.5% of recent movies, and about 2.5% of recent movies are comedies from Warner Bros.¹ Let C denote the event a movie is a comedy and W denote the event a movie is produced by Warner Bros. ¹Probabilities based on data from HollywoodMovies.

(a) Write probability expressions for each of the three facts given in the first sentence of the exercise.

P(C)= Enter your answer in accordance to item (a) of the question statement P(W)= Enter your answer in accordance to item (a) of the question statement P(CandW)= Enter your answer in accordance to item (a) of the question statement

2 - Free Throws

During the 2015-2016 NBA season, Stephen Curry of the Golden State Warriors had a free throw shooting percentage of 0.914. Assume that the probability Stephen Curry makes any given free throw is fixed at 0.914 , and that free throws are independent.

Let S denote successfully making a free throw and F denote missing it.

Round your answer to three decimal places.

(a) If Stephen Curry shoots two free throws, what is the probability that he makes both of them?

P(Makes two) =

(b) If Stephen Curry shoots two free throws, what is the probability that he misses both of them?

P(Misses Two) =

(c) If Stephen Curry shoots two free throws, what is the probability that he makes exactly one of them?

P(makes exactly one)