Stat 300: Discrete Probability Distributions Problem Set Name : Directions: When answering the questions below, you are expected to use techniques discussed in lectures. When a formula is the ONLY option, use the formula and show all work substituted. Otherwise, you are expected to use the calculator features being taught and demonstrate the inputs the same as in the lectures and "formulas and calculator steps" document. 1. In a study for genetic disorders, five women with a linked breast cancer gene have one child each. The random variable x represents the number of children among the five who inherit the breast cancer gene, regardless the sex of the child assigned at birth. a. Determine if the probability distribution given is valid. P(x) .028 .154 X O H N m J n 318 .318 Find the mean and standard deviation. Be sure to include units in your answers. .154 028 2. The accompanying tables describes results from groups of 10 births from 10 different sets of Rottweiler breeders. The random variable x represents the number of male puppies born among 10 puppies in a liter. a. Determine if the probability distribution given is valid