a) For a a random variable X, E (X²) ≥ [E (X)]². b) The probability that exactly one of the events A or B occurs is P (A) + P (B) – P (A^B). c) For any two events A, B, if P (A) = 0, A might not be independent of B. d) If 13 people are in a room, the probability that at least two of them have birthdays in the same month is 1.

a) For a a random variable X, E (X²) ≥ [E (X)]². b) The probability that exactly one of the events A or B occurs is P (A) + P (B) – P (A^B). c) For any two events A, B, if P (A) = 0, A might not be independent of B. d) If 13 people are in a room, the probability that at least two of them have birthdays in the same month is 1.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 42E

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