The joint probability function associated with data obtained in a study of auto-mobile 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.Y1 is the number of fatalities per child and, since children's car seats usually utilize two belts, Y2 is the number of seat belts in use at the time of the accident. So ; if the child survived Y1 1 if not 0 if no belt used 1 if adult belt used 2 ;if c seat belt used Y2 = m 0.17 1 0.14 0.02 2 0.24 0.05 (i) Find the value m. (ii) Find F(1, 2). What is the interpretation of this value? (iii) Give the marginal probability functions for Y1 and Y2. (iv) Give the conditional probability function for Y2 given Y1 = 0. (v) What is the probability that a child survived given that he or she was in a car-seat belt?
The joint probability function associated with data obtained in a study of auto-mobile 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.Y1 is the number of fatalities per child and, since children's car seats usually utilize two belts, Y2 is the number of seat belts in use at the time of the accident. So ; if the child survived Y1 1 if not 0 if no belt used 1 if adult belt used 2 ;if c seat belt used Y2 = m 0.17 1 0.14 0.02 2 0.24 0.05 (i) Find the value m. (ii) Find F(1, 2). What is the interpretation of this value? (iii) Give the marginal probability functions for Y1 and Y2. (iv) Give the conditional probability function for Y2 given Y1 = 0. (v) What is the probability that a child survived given that he or she was in a car-seat belt?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Can I have a detailed explanation on part (v) of the following question in the attachment? Thank you!
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