1. Three tables listed below show "random variables" and their "probabilities." However, only one of these is actually a probability distribution. a. Which one is it ? Left one, center, or right one X P (x) X P (x) X P (x ) 5 0.3 5 0.1 5 0.5 10 0.3 10 0.3 10 0.3 15 0.2 15 0.2 15 -0.2 20 0.4 20 0.4 20 0.4 b. Using the correct probability distribution, find the probability that X is : (i) Exactly 15 (ii) No more than 10 2016 (iii) More than 5 c. Compute the mean, variance, and standard deviation of this distribution