Questions 1,2,3

1. Is the following distribution a valid discrete probability distribution? X P(x) 1 0.29 2 0.31 3 0.21 4 0.10 5 0.15 2. Determine the required value of the missing probability to make the distribution a discrete probability distribution. X 3 4 5 6 Plx) 0.15 ? 0.35 0.05 3. The following data represent the number of games played in each series of an annual tournament from 1922 to 2002. Complete parts (a) through (d) below. X games played 4 5 6 7 Frequency 5 7 8 10 a) Construct a discrete probability distribution for the random variable x. b) Graph the discrete probability distribution. c) Compute and interpret the mean ofthe random variable x. Write formula and round your final solution to two decimal places. Show your work. d) Compute the standard deviation of the random variable it. Write formula and round your final solution to two decimal places. Use the mean from part C