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.) b. Make the probability distribution table. Tol 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 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? Problem #5. The sum of all the probabilities of a discrete random variable is _?_4.1 Discrete Random Variables Name : Diller 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 c. Find P(2