Suppose the number of rides that a visitor enjoys at Disney World during a day is a random variable with the probability distribution given in the table

Suppose the number of rides that a visitor enjoys at Disney World during a day is a random variable with the probability distribution given in the table. x 5 6 7 8 9 10 11 12 p(x) 0.04 0.07 0.09 0.12 0.20 0.30 0.13 0.05 a. [2 marks] Find the mean number of rides for a Disney World visitor. b. [4 marks=3, 1] Find the variance and standard deviation of the number of rides for a Disney World visitor. c. [3 marks] Find the probability that the number of rides for a randomly selected Disney World visitor is within 1 standard deviation of the mean. d. [3 marks] Find the probability that the number of rides for a randomly selected Disney World visitor is less than 1 standard deviation above the mean