A chartered analyst can choose any one of three routes to get to work-A, B or C. The probabilities that she arrives on time using routes A, B, and C are 50%, 52%, and 60% respectively. If she chooses routes A, B, C, with 40%, 30%, and 30% chances, respectively, and arrives on time, calculate the probability that she chose route A.
A chartered analyst can choose any one of three routes to get to work-A, B or C. The probabilities that she arrives on time using routes A, B, and C are 50%, 52%, and 60% respectively. If she chooses routes A, B, C, with 40%, 30%, and 30% chances, respectively, and arrives on time, calculate the probability that she chose route A.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A chartered analyst can choose any one
of three routes to get to work-A, B or C. The probabilities that she arrives on time using routes A, B, and C are 50%, 52%, and 60% respectively. If she chooses routes A, B, C, with 40%, 30%, and 30% chances, respectively, and arrives on time, calculate the probability that she chose route A.
Expert Solution
Step 1
Let A denotes she choses route A,
B denotes she chooses route B,
C denotes she choses route C,
And T denotes she arrives on time.
The probability of she choses route A, B, and C is
, , and
The probability of she arrives on time using the route A, B, and C is
, and .
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