P(A) = 0.37, P(B) = 0.20, and P(A∩B) = 0.074. Are events A and B independent? Justify the answer mathematically. No, because 0.37 + 0.20 ≠ 0.074 Yes, because (0.37)(0.20) = 0.074 No, because (0.37)(0.20) = 0.074 Yes, because 0.37 + 0.20 ≠ 0.074
P(A) = 0.37, P(B) = 0.20, and P(A∩B) = 0.074. Are events A and B independent? Justify the answer mathematically. No, because 0.37 + 0.20 ≠ 0.074 Yes, because (0.37)(0.20) = 0.074 No, because (0.37)(0.20) = 0.074 Yes, because 0.37 + 0.20 ≠ 0.074
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 20E: Decide whether the following pairs of events are dependent or independent. C is the event that it...
Question
P(A) = 0.37, P(B) = 0.20, and P(A∩B) = 0.074. Are events A and B independent? Justify the answer mathematically.
No, because 0.37 + 0.20 ≠ 0.074
Yes, because (0.37)(0.20) = 0.074
No, because (0.37)(0.20) = 0.074
Yes, because 0.37 + 0.20 ≠ 0.074
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