1. The sample space of a random experiment is {a, b, c,d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively.Let A denote the event {a, b, c}, and let B denote the event{c, d, e}. Determine the following:a. P(A)b. P(B)c. P(A′)d. P(A ∪ B)e. P(A ∩ B)    2. Suppose that P(A | B) = 0.2, P(A | B′) = 0.3, and P(B) = 0.8. What is P(A)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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1. The sample space of a random experiment is {a, b, c,
d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively.
Let A denote the event {a, b, c}, and let B denote the event
{c, d, e}. Determine the following:
a. P(A)
b. P(B)
c. P(A′)
d. P(A ∪ B)
e. P(A ∩ B) 

 

2. Suppose that P(A | B) = 0.2, P(A | B′) = 0.3, and P(B) = 0.8. What is P(A)?

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