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B >) Find the probability

B >) Find the probability

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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AUC 4- P(ANC), ² PCA) S MIN We have a two-stage event A, B with corresponding probabilities P(A) = 1/3 and both stages have two possible event outcomes C, D with P(CIA), P(DA), P(CIB) and P(DIB). Here some second stage event probabilities given as P(C|A) = 3/5 and P(D|B) = 7/10. (8113) اکره C 1 3 A D S W/N B " D P = Р 7 10 14+ (a) Find the probability that event B occurred in the first stage and event D occurred in the second stage. (b) Find the probability that event D occurred in the second stage. (c) Suppose we are given the information that event D occurred. Find the conditional probability that event B occurred in the first stage by use of the Bayes' theorem. (Write the Bayes' theorem formula first for this question.) f P
Transcribed Image Text:AUC 4- P(ANC), ² PCA) S MIN We have a two-stage event A, B with corresponding probabilities P(A) = 1/3 and both stages have two possible event outcomes C, D with P(CIA), P(DA), P(CIB) and P(DIB). Here some second stage event probabilities given as P(C|A) = 3/5 and P(D|B) = 7/10. (8113) اکره C 1 3 A D S W/N B " D P = Р 7 10 14+ (a) Find the probability that event B occurred in the first stage and event D occurred in the second stage. (b) Find the probability that event D occurred in the second stage. (c) Suppose we are given the information that event D occurred. Find the conditional probability that event B occurred in the first stage by use of the Bayes' theorem. (Write the Bayes' theorem formula first for this question.) f P
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