A sample space consists of 9 elementary outcomes E₁, E2, ..., E, whose probabilities are: P(E₁)=P(E₂) = 0.09, P(E3)=P(E4) = P(Es) = 0.1, P(E)=P(E)= 0.2, P(Eg) = P(E9) = 0.06 A = {E₁, E5, Eg}, B = {E2, E5, Eg, E9}, then (a) Calculate P(A), P(B), and P(A ♂ B). If (b) Using the addition law of probability, calculate P (AUB). (c) List the composition of the event A U B, and calculate P (AUB) by adding the probabilities of the elementary outcomes. (d) Calculate P (B) from P (B), also calculate P (B) directly from the elementary outcomes of B.

A sample space consists of 9 elementary outcomes E₁, E2, ..., E, whose probabilities are: P(E₁)=P(E₂) = 0.09, P(E3)=P(E4) = P(Es) = 0.1, P(E)=P(E)= 0.2, P(Eg) = P(E9) = 0.06 A = {E₁, E5, Eg}, B = {E2, E5, Eg, E9}, then (a) Calculate P(A), P(B), and P(A ♂ B). If (b) Using the addition law of probability, calculate P (AUB). (c) List the composition of the event A U B, and calculate P (AUB) by adding the probabilities of the elementary outcomes. (d) Calculate P (B) from P (B), also calculate P (B) directly from the elementary outcomes of B.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 59E

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