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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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