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)= .05, P(.E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) =.15, P(E6) = .10, and P(E7) = .05. LetA= {E1 E4, E6 }B= {E2 E4, E7 }c= {E2 E3, E6 , E7} a. Find P(A), P(B), and P(C).b. Find A∪ B and P(A ∪ B).c. Find A ∩ B and P(A ∩ B).d. Are events A and C mutually exclusive?e.Find Bc and P(Bc).

Probability of an event represents the chance of occurrence of that event and it is equal to the…

Answered: Suppose that we have a sample space S=…

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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Suppose that we have a sample space S= {E₁ E₂, E₃, E₄, E₅, E₆' E₇}, where E₁E₂, ...,E₇denote the sample points.The following probability assignments apply: P(E₁)= .05, P(.E₂) = .20, P(E₃) = .20, P(E4) = .25, P(E₅) =.15, P(E₆) = .10, and P(E₇) = .05. Let

A= {E₁ E₄, E₆ }

B= {E₂ E₄, E₇ }

c= {E₂ E₃, E₆ , E₇}

a. Find P(A), P(B), and P(C).

b. Find A∪ B and P(A ∪ B).

c. Find A ∩ B and P(A ∩ B).

d. Are events A and C mutually exclusive?

e.Find B^cand P(B^c).

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