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. 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 Bc and P(Bc).
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. 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 Bc and P(Bc).
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
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
e.Find Bc and P(Bc).
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