Problem #3: The random variable x represents the number of boys in a family of 3 children. Assume that boys and girls are equally likely. a. Write out all of the possible outcomes. (There should be 8.) sdong a louyaad" b. Make the probability distribution table. c. Find the mean for the random variable x. Problem #4: A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution. X 0 2 3 4 P(X) 0.1 0. 1 0.1 0.1 0.6 a. What is the probability that no customers make a purchase during the first hour that the store is open? b. What is the probability that the number of customers that make a purchase during the first hour that the store is open is more than 1 but no greater than 3? 2 X4 bait d Problem #5. The sum of all the probabilities of a discrete random variable is _?_4.1 Discrete Random Variables Name: Dillen Danson The following are discrete random variables: Problem #1: The probabilities that a customer selects 1, 2, 3, 4, or 5 items at a convenience store are 0.32, 0.12, 0.23, 0.18, and 0.15, respectively. a . Construct a probability distribution (table) for the data, and draw a probability distribution histogram. :32 b. Find P( X > 3.5). 266 033 . 21 16 c. Find P(1.0 3.5). 10.4 offT: 2# maldort c. Find P(2