4. (a) Explain in words the meaning of P(A|B)State the relationship between A and B when:(i) P(A|B) = P(A)(ii) P(A|B) = 0%3D(b) The events A and B are such that P(A) = P(A|B) =; P(AU B) =(i)Draw a Venn diagram to represent the informationCalculate:(ii) P(B)(iii) P(B|A)(iii) P(AN B)(iv) P(AUB)(v) P(Ā|B)(vi) Represent the information as a tree diagram with B preceding AP(AUB) = P(A) + P(B) – P(A N B)P(An B)P(B)P(A|B) :

Answered: Image /qna-images/answer/40fe1e07-b8e1-4d3d-970d-bb235656e75b.jpg

4. (a) Explain in words the meaning of P(A|B) State the relationship between A and B when: (i) P(A|B) = P(A) (ii) P(A|B) = 0 (b) The events A and B are such that P(A) = P(A|B) = ; P(AU B) = 2 (i) Draw a Venn diagram to represent the information Calculate: (ii) P(B) (iii) P(B|A) (iii) P(AN B) (iv) P(AUB) (v) P(Ā|B) (vi) Represent the information as a tree diagram with B preceding A P(AUB) P(4) + P(B) - Ρ(An B) P(AN B) P(A|B) P(B)

4. (a) Explain in words the meaning of P(A|B) State the relationship between A and B when: (i) P(A|B) = P(A) (ii) P(A|B) = 0 (b) The events A and B are such that P(A) = P(A|B) = ; P(AU B) = 2 (i) Draw a Venn diagram to represent the information Calculate: (ii) P(B) (iii) P(B|A) (iii) P(AN B) (iv) P(AUB) (v) P(Ā|B) (vi) Represent the information as a tree diagram with B preceding A P(AUB) P(4) + P(B) - Ρ(An B) P(AN B) P(A|B) P(B)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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