Concept explainers
In Exercise 5.4, you were given the following joint
- a Give the marginal probability
functions for Y1 and Y2. - b Give the conditional probability function for Y2 given Y1 = 0.
- c What is the probability that a child survived given that he or she was in a car-seat belt?
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
Notice that Y1 is the number of fatalities per child and, since children’s car seats usually utilize two belts, Y2 is the number of seatbelts in use at the time of the accident.
- 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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Chapter 5 Solutions
Mathematical Statistics with Applications
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