The prior probabilities for events A1 and A2 are P(A1) = .45 and P(A2) = .55. It is alsoknown that P(A1 ∩ A2) = 0. Suppose P(B ∣ A1) = .05 and P(B ∣ A2) = .20.a. Are A1 and A2 mutually exclusive? Explain.b. Compute P(A1 ∩ B) and P(A2 ∩ B).c. Compute P(B).d. Apply Bayes’ theorem to compute P(A1 ∣ B) and P(A2 ∣ B). 1. The prior probabilities for events A1 and A2 are P(A1) = .45 and P(A2) = .55. It is alsoknown that P(A1 N A2) = 0. Suppose P(B |A1) = .05 and P(B | A2) = .20.a. Are A1 and A2 mutually exclusive? Explain.b. Compute P(A1 N B) and P(A2 n B).c. Compute P(B).d. Apply Bayes' theorem to compute P(A1 | B) and P(A2 | B).

Given that P(A1) = 0.45, P(A2) = 0.55 P(B|A1) = 0.05, P(B|A2) = 0.20 Note : According to our…

Answered: Áre A1 and A2 mutually exclusive?…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

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The prior probabilities for events A1 and A2 are P(A1) = .45 and P(A2) = .55. It is also
known that P(A1 ∩ A2) = 0. Suppose P(B ∣ A1) = .05 and P(B ∣ A2) = .20.
a. Are A1 and A2 mutually exclusive? Explain.
b. Compute P(A1 ∩ B) and P(A2 ∩ B).
c. Compute P(B).
d. Apply Bayes’ theorem to compute P(A1 ∣ B) and P(A2 ∣ B).

1. The prior probabilities for events A1 and A2 are P(A1) = .45 and P(A2) = .55. It is also
known that P(A1 N A2) = 0. Suppose P(B |A1) = .05 and P(B | A2) = .20.
a. Are A1 and A2 mutually exclusive? Explain.
b. Compute P(A1 N B) and P(A2 n B).
c. Compute P(B).
d. Apply Bayes' theorem to compute P(A1 | B) and P(A2 | B).

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