Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determinethe following probabilities:1. P(ACB); 2. P(AUB); 3.P(AB): 4.P(AUB): 5.P(ANB).

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Answered: Q2: If P(A)=0.25, P (B) = 0.45, P…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q49 ABCDEF
Suppose A and B are two events with probabilities: P(A°) = .25, P(B) = .35, P(AN B) = .30. a) What is (A|B) ? b) What is (B|A) ?
The prior probabilities for events A1 and Ag are P(A1) = 0.50 and P(A2) = 0.50. It is also known that P(A n A2) = 0. Suppose P(B|A1) = 0.10 and P(B|A2) = 0.70. a. Are events Aj and Ag mutually exclusive? Yes 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) choice (i) b. Compute P(A1 n B) (to 2 decimals). 0.165 Compute P(A2 N B) (to 2 decimals). 0.4819 c. Compute P(B) (to 2 decimals). 0.415 d. Apply Bayes' theorem to compute P(A1|B) (to 4 decimals). Also apply Bayes' theorem to compute P(A2|B) (to 4 decimals).
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Suppose A and B are two events with probabilities: P(A) = .45, P(B) = .55, P(A N B) = .15. a) What is (A|B) ? b) What is (B|A) ?
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Q2: If P(A)=0.25, P (B) = 0.45, P (ABC)=0.43, draw the Venn diagrams and determine the following probabilities: 1. P(ACB); 2. P(AUB); 3.P(AB): 4.P(AUB); 5.P(ANB).