Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter PIV, Problem 40RE

(a)

To determine

To find: the probability that a arbitrary selected car is recalled.

(a)

Expert Solution
Check Mark

Answer to Problem 40RE

0.017

Explanation of Solution

Given:

  P(A)=0.7P(J)=0.2P(G)=0.1P(R|A)=0.02P(R|J)=0.01P(R|G)=0.01

Calculation:

Suppose

A = car is American brand

J = car is Japanese brand

G = car is German brand

R = car is recalled

It is given that

  P(R)=P(A)P(R|A)+P(J)P(R|J)+P(G)P(R|G)=(0.7)(0.02)+(0.2)(0.01)+(0.1)(0.01)=0.017

(b)

To determine

To find: the probability of a recalled car being American.

(b)

Expert Solution
Check Mark

Answer to Problem 40RE

0.82

Explanation of Solution

0.82

Given:

  P(A)=0.7P(J)=0.2P(G)=0.1P(R|A)=0.02P(R|J)=0.01P(R|G)=0.01

Calculation:

  P(A|R)=P(AR)P(R)=P(A)P(R|A)P(R)=(0.7)(0.02)0.017=0.82

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