13. Two fair dice are rolled at once. Let X denote the difference in the number of dots 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 that
13. Two fair dice are rolled at once. Let X denote the difference in the number of dots 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 that
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Answer number 13 only.
Transcribed Image 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.)
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