Answered: a) Find the P(A), P(B) and P(C), write…

a) Find the P(A), P(B) and P(C), write the answers on the space provided. b) Find B' and P(B') c) Find A U B and P(A U B)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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Question

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ...E7 denote the sample points. The following probability assignments apply: P(E1) = 0.05, P(E2) = 0.20, P(E3) = 0.20, P(E4) = 0.25, P(E5) = 0.15, P(E6) = 0.10, and P(E7) = .05. Let
A = {E1, E4, E6}, B = {E2, E4, E7}, C = {E2, E3, E5, E7}

a) Find the P(A), P(B) and P(C), write the answers on the space provided.
b) Find B' and P(B')
c) Find A U B and P(A U B)

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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