(4 points) If X is a binomial random variable, compute P(X = x) for each of the following cases: a) n= 6,x=1,p= 0.5 P(X=x) = b) n=5,x=5,p=0.1 P(X=x)= c) n=6,x=2,p=0.6 P(X=x)= d) n=5,x=3,p=0.3 P(X=x) = \f(1 point) A baseball player has a lifetime batting average of 0.208. If, in a season, this player has 480 "at bats", what is the probability he gets 124 or more hits? Let H denote the number of hits. Find the probability that the player gets 124 or more hits. P(H 2 124) = (4 points) Suppose that during practice a basketball player can make a free throw 80 percent of the time. Furthermore, assume that a sequence of free- throw shooting can be thought of as independent Bernoulli trials. Let X equal the minimum number of free throws this player must attempt to make a total of 9 shots. X follows a: 0A. Negative Binomial Distribution. OB. Binomial Distribution. QC. Geometric Distribution 0 D. Hypergeometric Distribution P(X = 15) = #X (1 point) If the probability is 0.05 that a certain kind of measuring device will show excessive drift, what is the probability that the 7th measuring device tested will be the first to show excessive drift? P(the 7th device tested will be the rst to show excessive drift) = (5 points) Let X equal the number of people selected at random that you must ask in order to find someone with the same birthday as yours. Assume that each day of the year is equally likely, and ignore February 29. Answer the following: X follows a: 0A. Binomial Distribution. 0 B. Uniform Distribution 00. Geometric Distribution. 0 D. Negative Binomial Distribution x 2 6X P(X > 420) = P(X