Question
The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.40....
The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.40. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits.
| (a) | Are A1 and A2 mutually exclusive? | ||||
| - Select your answer -YesNoItem 1 | |||||
| Explain your answer. | |||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. | |||||
| (b) | Compute P(A1 ∩ B) and P(A2 ∩ B). | ||||
|
|||||
| (c) | Compute P(B). | ||||
| P(B) = | |||||
| (d) | Apply Bayes’ theorem to compute P(A1 | B) and P(A2 | B). | ||||
|
Homework Answers
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