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The prior probabilities for events A1 and A2 are PA1045 .pdf

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The prior probabilities for events A1 and A2 are P(A1)=0.45 and P(A2)=0.55. It is also known that P(A1A2)=0. Suppose P(BA1)=0.20 and P(BA2)=0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive? Explain your answer. (i) P(A1)+P(A1)=1 (ii) P(A1A2)=0 (iii) P(A1)=P(A1A2) (iv) P(A2)=P(A2A1) (b) Compute P(A1B) and P(A2B). P(A1B)=P(A 2B)= (c) Compute P(B). P(B)= (d) Apply Bayes' theorem to compute P(A1B) and P(A2B). P(A1B)= P(A2B)=.

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The prior probabilities for events A1 and A2 are P(A1)=0.45 and P(A2)=0.55. It is also known that P(A1A2)=0. Suppose P(BA1)=0.20 and P(BA2)=0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive? Explain your answer. (i) P(A1)+P(A1)=1 (ii) P(A1A2)=0 (iii) P(A1)=P(A1A2) (iv) P(A2)=P(A2A1) (b) Compute P(A1B) and P(A2B). P(A1B)=P(A 2B)= (c) Compute P(B). P(B)= (d) Apply Bayes' theorem to compute P(A1B) and P(A2B). P(A1B)= P(A2B)=

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The prior probabilities for events A1 and A2 are PA1045 .pdf

  • 1. The prior probabilities for events A1 and A2 are P(A1)=0.45 and P(A2)=0.55. It is also known that P(A1A2)=0. Suppose P(BA1)=0.20 and P(BA2)=0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive? Explain your answer. (i) P(A1)+P(A1)=1 (ii) P(A1A2)=0 (iii) P(A1)=P(A1A2) (iv) P(A2)=P(A2A1) (b) Compute P(A1B) and P(A2B). P(A1B)=P(A 2B)= (c) Compute P(B). P(B)= (d) Apply Bayes' theorem to compute P(A1B) and P(A2B). P(A1B)= P(A2B)=