2.) In the Venn diagram shown is given the probabilities for An BC= 60%, AnB=10%, and Aºn B = 15%. Construct a completed contingency table for these events and correctly answer the following questions. a.) Table: b.) P(AUB)= c.) P(AIB)= 100% d.) Are the events A and B mutually exclusive? Explain your answer. e.) Are the events A and B independent? Explain your answer. A 10% B 15%

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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2.) In the Venn diagram shown is given the probabilities
for An BC = 60%, AnB = 10%, and Aºn BC = 15%.
Construct a completed contingency table for these events
and correctly answer the following questions.
a.) Table:
b.) P(AUB)=
c.) P(AIB)=
7
100%
d.) Are the events A and B mutually exclusive? Explain your answer.
e.) Are the events A and B independent? Explain your answer.
A
10%
B
15%
Transcribed Image Text:2.) In the Venn diagram shown is given the probabilities for An BC = 60%, AnB = 10%, and Aºn BC = 15%. Construct a completed contingency table for these events and correctly answer the following questions. a.) Table: b.) P(AUB)= c.) P(AIB)= 7 100% d.) Are the events A and B mutually exclusive? Explain your answer. e.) Are the events A and B independent? Explain your answer. A 10% B 15%
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