Name : 1. The following probability distribution is a representation of the number of extracurricular activities a college student freshman participates in. 0 2 3 p (x) 0.06 0. 14 0. 45 0. 14 a. What is the p (x 2 4) ? b. What is the P(1 5 x 5 4) ? c. Find the expected value of the distribution. Show your work. d. Find the standard deviation of the distribution. Show your work. 2. The Bank of America VP feels that each savings account customer has, on average, three credit cards. The following distribution represents the number of credit cards people own. Find the mean, and standard deviation of the probability distribution. (Use calculator) X 0 2 3 P (x) 0 . 18 0 . 44 0. 08 0. 03 Activity 11 Probability Distributions 3, Let x = number of exercise machines sold at Elmo's on a given day . X P(x) a . P (x > 6) . 0824 -2471 b. p(2 5 x 5 4) - 3177 .2269 0972 c. Use your calculator to find . 0250 the population mean. 0001 d. Find the standard deviations