Probability Distributions and Expected Values. As a reminder, you must show appropriate amount of work I discussed in videos to receive full credit. 1. (6 points) The following is a discrete probability distribution for the random variable x, the number of laptop computers owned by each family in Santa Barbara. You may use the space below for work. x P(x) 0 1 2 3 0.061 0.206 0.532 0.201 a) (3 points) Find the mean of the probability distribution. b) (3 points) Find the standard deviation of the probability distribution.