(Solved): (a) Construct a discrete probability distribution for the random variable x. (Kound to tour decima ...

(a) Construct a discrete probability distribution for the random variable $$x$$. (Kound to tour decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. A. B. C. (c) Compute and interpret the mean of the random variable $$x$$. $${?}_{\mathrm{x}}=\text{ games }$$ (Round to four decimal places as needed.) Interpret the mean of the random variable $$x$$. A. The series, if played one time, would be expected to last about $$5.8$$ games. B. The series, if played many times, would be expected to last about $$5.8$$ games, on average. C. The series, if played many times, would be expected to last about $$4.2$$ games, on average. (d) Compute the standard deviation of the random variable $$x$$. $${?}_{\mathrm{x}}=\text{ games }$$ (Round to one decimal place as needed.)