The prior probabilities for events A1 and Az are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A,N A2) =0. Suppose P(B|A1)= 0.10 and P(B|A2) = 0.20. a. Are events A1 and A2 mutually exclusive? - Select your answer- Explain. (i) P(A1 N A2) = 0 (ii) P(A1) + P(A2) = 1 (iii) P(A2) * P (A2 | A1) (iv) P(A2) + P(A2 | A1) - Select your answer - b. Compute P(A n B) (to 2 decimals). Compute P(A2 n B) (to 2 decimals).
The prior probabilities for events A1 and Az are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A,N A2) =0. Suppose P(B|A1)= 0.10 and P(B|A2) = 0.20. a. Are events A1 and A2 mutually exclusive? - Select your answer- Explain. (i) P(A1 N A2) = 0 (ii) P(A1) + P(A2) = 1 (iii) P(A2) * P (A2 | A1) (iv) P(A2) + P(A2 | A1) - Select your answer - b. Compute P(A n B) (to 2 decimals). Compute P(A2 n B) (to 2 decimals).
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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