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An experiment can result in one of five equally likely simple events, E,. E, . , E,. Events A, B, and C are defined as follows. A: E,. E, P(A) = 0.4 B: E,. E, E,, E, P(®) = 0.8 C: E,, E, P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each.

An experiment can result in one of five equally likely simple events, E,. E, . , E,. Events A, B, and C are defined as follows. A: E,. E, P(A) = 0.4 B: E,. E, E,, E, P(®) = 0.8 C: E,, E, P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 21E
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An experiment can result in one of five equally likely simple events, E,, E,, E. Events A, B, and C are defined as follows. A: E E, P(A) = 0.4 B: E,. E, E, E P(B) = 0.8 C: E, E, P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each. (a) AC List the simple events in A". AC = Find P(A). P(A“) = ( (b) ANB List the simple events in AN B. ANB = Find P(A N B). P(A N B) = (c) Bnc List the simple events in BnC. BNC = Find P(Bn C). P(Bn C) = (d) AUB List the simple events in AU B. AUB = Find P(A U B). P(A U B) =
Transcribed Image Text:An experiment can result in one of five equally likely simple events, E,, E,, E. Events A, B, and C are defined as follows. A: E E, P(A) = 0.4 B: E,. E, E, E P(B) = 0.8 C: E, E, P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each. (a) AC List the simple events in A". AC = Find P(A). P(A“) = ( (b) ANB List the simple events in AN B. ANB = Find P(A N B). P(A N B) = (c) Bnc List the simple events in BnC. BNC = Find P(Bn C). P(Bn C) = (d) AUB List the simple events in AU B. AUB = Find P(A U B). P(A U B) =
(e) BIC List the simple events in B|C. BỊC = Find P(B|C). P(B|C) = (f) A|B List the simple events in A|B. A|B =. Find P(A|B). P(A|B) = 0.25 (9) AUBUC List the simple events in A U BUC. AUBUC= Find P(A UBU C). P(A UBUC) = (h) (AN B)C List the simple events in (AN B)". (AN B) = Find P((A N B)"). P((A N B)) =(
Transcribed Image Text:(e) BIC List the simple events in B|C. BỊC = Find P(B|C). P(B|C) = (f) A|B List the simple events in A|B. A|B =. Find P(A|B). P(A|B) = 0.25 (9) AUBUC List the simple events in A U BUC. AUBUC= Find P(A UBU C). P(A UBUC) = (h) (AN B)C List the simple events in (AN B)". (AN B) = Find P((A N B)"). P((A N B)) =(
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