(a) Find Pr[E ∩ F]. (b) Using your answer to the previous question, fill out the Venn diagram for E and F: (c) Find the following probabilities: i. Pr[E ∩ F Compliment] ii. Pr[E Compliment ∩ F] iii. Pr[E Compliment ∩ F Compliment]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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1. Suppose that E and F are independent events such that Pr[E] = .3 and Pr[F] = .4.
(a) Find Pr[E ∩ F].
(b) Using your answer to the previous question, fill out the Venn diagram for E and F:
(c) Find the following probabilities:
i. Pr[E ∩ F Compliment]
ii. Pr[E Compliment ∩ F]
iii. Pr[E Compliment ∩ F Compliment]

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