The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.40. It is also known that P(A1 n 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? Yes Explain your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank (b) Compute P(A1 N B) and P(A2 N B). P(A, N B) = 0.09 P(A2 N B) = 0.025 (c) Compute P(B). P(B) = 0.115 (d) Apply Bayes' theorem to compute P(A1 | B) and P(A2 | B). P(A1 | B) = 0.783 P(A2 | B) = 0.217

The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.40. It is also known that P(A1 n 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? Yes Explain your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank (b) Compute P(A1 N B) and P(A2 N B). P(A, N B) = 0.09 P(A2 N B) = 0.025 (c) Compute P(B). P(B) = 0.115 (d) Apply Bayes' theorem to compute P(A1 | B) and P(A2 | B). P(A1 | B) = 0.783 P(A2 | B) = 0.217

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 31E

See similar textbooks