choose a number from the set {1, 2, 3, ..., 100} uniformly at random and denote this number by X. For each of the following choices decide whether the two events in question are independent or not. (a) A = {X is even}, B = {X is

choose a number from the set {1, 2, 3, ..., 100} uniformly at random and denote this number by X. For each of the following choices decide whether the two events in question are independent or not. (a) A = {X is even}, B = {X is

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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Question

We choose a number from the set {1, 2, 3, ..., 100} uniformly at random and denote this number by X. For each of the following choices decide whether the two events in question are independent or not.

(a) A = {X is even}, B = {X is divisible by 5}.

(b) C = {X has two digits}, D = {X is divisible by 3}.

(c) E = {X is a prime}, F = {X has a digit 5}. Note that 1 is not a prime.

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