The following data represent the number of games played in each series of an annual tournament from 1923 to 2019. Complete parts (a) through (d) below. x (games played) 4 Frequency 5 6 7 19 20 20 37 (a) Construct a discrete probability distribution for the random variable X. x (games played) 4 P(x) 0.1979 5 0.2083 6 0.2083 7 0.3854 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. 0.5- Q (c) Compute and interpret the mean of the random variable X. Hx = game(s) (Round to one decimal place as needed.) 0.5 Q 0.5 0 5 0.5 Q (c) Compute and interpret the mean of the random variable x P-games (Round to four decimal places as needed.) Interpret the mean of the random variable x OA. The series, if played many times, would be expected to last about 6.7 games, on average. OB. The series, if played many times, would be expected to last about 4.3 games, on average. OC. The series, if played one time, would be expected to last about 5.7 games. (d) Compute the standard deviation of the random variable x. -games (Round to one decimal place as needed.) 2. Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. An experimental drug is administered to 180 randomly selected individuals, with the number of individuals responding favorably recorded. Does the probability experiment represent a binomial experiment? OA. No, because the probability of success differs from trial to trial. B. No, because the trials of the experiment are not independent. OC. No, because there are more than two mutually exclusive outcomes for each trial. OD. Yes, because the experimentaisies all the criteria for a binomial experiment.