E. Solve each problem. 11. Let X denote the number of boys in a randomly selected three-child family. Assuming that boys and girls are equally likely, construct the probability distribution of X. 12....

Answer number 14 only.

Extracted text: E. Solve each problem. 11. Let X denote the number of boys in a randomly selected three-child family. Assuming that boys and girls are equally likely, construct the probability distribution of X. 12. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is 0.9825. Such a person wishes to buy a P150,000 one-year term life insurance policy. Let C denote how much the insurance company charges such a person for such a policy.Construct the probability distribution of X. (Two entries in the table will contain C.) 13. Two fair dice are rolled at once. Let X denote the difference in the number of dots that appear on the top faces of the two dice. For example if a one and a five are rolled, X = 4, and if two sixes are rolled, X 0.Construct the probability distribution for X. 14. A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units.Construct the probability distribution for the number X of defective units in such a sample. (A tree diagram is helpful.)