The following data represent the number of games played in each series of an annual tournament from 1922 to 2006. Complete parts (a) through (d) below. x(games played) 4 5 6 7 Ch Frequency 18 14 22 30 (a) Construct a discrete probability distribution for the random variable x. x (games played) P(x) 4 E 5 E 6 E 7 E (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. O B. P AP 05 0') Q 05 00 Q a a I3 IZ' x _ x 0 0- 4 5 6 7 4 5 6 7 OS. 0.5 P(x) '09 (c) Compute and interpret the mean of the random variable x. u), = D games (Round to four decimal places as needed.) Interpret the mean of the random variable x. O A. The series, if played many times, would be expected to last about 4.2 games, on average. 0 B. The series, if played many times, would be expected to last about 5.8 games, on average. 0 C. The series, if played one time, would be expected to last about 5.8 games. (d) Compute the standard deviation of the random variable x. 5x = games (Round to one decimal place as needed.)