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Asked Jan 9, 2020

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In each of Exercises the events A1, A2, . . . are mutually exclusive and exhaustive. We have provided P(A1), P(A2), . . . and P(B| A1), P(B| A2), . . . . In each case,

a.use the rule of total probability to nd P(B).

b.apply Bayes’s rule to nd P(A1| B).

J | P(Aj) | P(B|Aj) |

1 | 0.4 | 0.8 |

2 | 0.6 | 0.7 |

Step 1

From the Bayes’ theorem, the conditional probability is given as follows.

Step 2

The value of *P(B)* can be calcu...

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