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Q.9) Two events A and B are such that P(A) = 0.3 , P(B) 0.4, P(A and B) 0.12. Are A and B independent, and why (or why not)? (a) Yes, because P(A) x P(B) P(A and B). (b) No, because P(A) + P(B) is not equal to P(A and B). (c) Cannot say, because we don't know whether A and B are disjoint. (d) Cannot say, because we need to know what A and B represent in order to figure out whether they are independent

Q.9) Two events A and B are such that P(A) = 0.3 , P(B) 0.4, P(A and B) 0.12. Are A and B independent, and why (or why not)? (a) Yes, because P(A) x P(B) P(A and B). (b) No, because P(A) + P(B) is not equal to P(A and B). (c) Cannot say, because we don't know whether A and B are disjoint. (d) Cannot say, because we need to know what A and B represent in order to figure out whether they are independent

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Q.9) Two events A and B are such that P(A) 0.3, P(B) 0.4, P(A and B) 0.12. Are A and B independent, and why (or why not)? (a) Yes, because P(A) x P(B) P(A and B). (b) No, because P(A) + P(B) is not equal to P(A and B). (c) Cannot say, because we don't know whether A and B are disjoint. (d) Cannot say, because we need to know what A and B represent in order to figure out whether they are independent
Transcribed Image Text:Q.9) Two events A and B are such that P(A) 0.3, P(B) 0.4, P(A and B) 0.12. Are A and B independent, and why (or why not)? (a) Yes, because P(A) x P(B) P(A and B). (b) No, because P(A) + P(B) is not equal to P(A and B). (c) Cannot say, because we don't know whether A and B are disjoint. (d) Cannot say, because we need to know what A and B represent in order to figure out whether they are independent
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