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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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