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Suppose that we have two events, A and B, with P(A) = .60, P(B) = .50, and P(A \cap B) = .40. a. Find P(A|B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select Yes or No, because P(A|B) Select equal to not equal to P(A).

Suppose that we have two events, A and B, with P(A) = .60, P(B) = .50, and P(A \cap B) = .40. a. Find P(A|B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select Yes or No, because P(A|B) Select equal to not equal to P(A).

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 27E: Another friend asks you to explain how to tell whether two events are dependent or independent. How...
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Suppose that we have two events, A and B, with P(A) = .60, P(B) = .50, and P(A \cap B) = .40. a. Find P(A|B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select Yes or No, because P(A|B) Select equal to not equal to P(A).
Transcribed Image Text:Suppose that we have two events, A and B, with P(A) = .60, P(B) = .50, and P(A \cap B) = .40. a. Find P(A|B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select Yes or No, because P(A|B) Select equal to not equal to P(A).
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