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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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....
icon
Related questions
Topic Video
Question
100%

Can I have a detailed explanation on part (v) of the following question in the attachment? Thank you!

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.
{:
0 ;if the child survived
1 ;if not
Yı :
0 ; if no belt used
1 ;if adult belt used
2 ;if ca seat belt used
Y2 =
1
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?
Transcribed Image Text: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. {: 0 ;if the child survived 1 ;if not Yı : 0 ; if no belt used 1 ;if adult belt used 2 ;if ca seat belt used Y2 = 1 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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning