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Assume that p(A1) = 0.3, %3D p(A2) = 0.7, p(BIA1) = 0.84 and p(B/A2) = 0.76. Find p(B) %3D

Assume that p(A1) = 0.3, %3D p(A2) = 0.7, p(BIA1) = 0.84 and p(B/A2) = 0.76. Find p(B) %3D

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Assume that p(A1) = 0.3, %3D p(A2) = 0.7, p(BIA¡) = 0.84 and p(B/A2) = 0.76. Find p(B) %3D Select one: O a. 0.216 O b. 0.494 O c. 0.784 O d. 0.506
Transcribed Image Text:Assume that p(A1) = 0.3, %3D p(A2) = 0.7, p(BIA¡) = 0.84 and p(B/A2) = 0.76. Find p(B) %3D Select one: O a. 0.216 O b. 0.494 O c. 0.784 O d. 0.506
Expert Solution
Step 1

Given Information:

P(A1) = 0.3

P(A2) = 0.7

P(B|A1) = 0.84

P(B|A2) = 0.76

To find P(B) :

Required probability is obtained as follows:

PB=PA1PB|A1+PA2PB|A2=0.3×0.84+0.7×0.76=0.252+0.532=0.784

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