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# Given here is the joint probability function associated with data obtained in a study of ISBN: 9780495110811 47

## Solution for problem 5.4 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.4

Given here is the joint probability function associated with data obtained in a study of automobile accidents in which a child (under age 5 years) was in the car and at least one fatality occurred. Specifically, the study focused on whether or not the child survived and what type of seatbelt (if any) he or she used. Define Y1 = 0, if the child survived, 1, if not, and Y2 = 0, if no belt used, 1, if adult belt used, 2, if car-seat belt used. Notice that Y1 is the number of fatalities per child and, since childrens car seats usually utilize two belts, Y2 is the number of seatbelts in use at the time of the accident. y1 y2 0 1 Total 0 .38 .17 .55 1 .14 .02 .16 2 .24 .05 .29 Total .76 .24 1.00 a Verify that the preceding probability function satisfies Theorem 5.1. b Find F(1, 2). What is the interpretation of this value?

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Intro to Stats Chapter 5b Discrete Random Variables and Probability Distributions Random variable- value depends on chance Discrete random variable- possible values can be listed Probability distribution- possible values and probabilities Probability histogram- graphs that touch, with probabilities Sum of probabilities of discrete...

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##### ISBN: 9780495110811

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