Explanation Given: Suppose X is a finite discrete random variable assuming the values x 1 , x 2 , x 3 , .... x n and associated probabilities are p 1 , p 2 , p 3 , .... p n then p 1 + p 2 + p 3 + ... + p n = 1 . Approach: The probability of the event can be calculated by the formula shown below, P ( E ) = n ( E ) n ( S ) Here, P ( E ) is the probability of the event E , n ( E ) is the number of favorable outcomes for E and n ( S ) is the total number of outcomes. Calculation: For any experiment, let E 1 , E 2 , E 3 , .... , E n are the events, corresponding to the random variable, X = x 1 , X = x 2 , X = x 3 ,…. X = x n . Since, for any event sum of number of favorable outcomes is equal to the number of total outcome, hence it can written as follows, n ( E 1 ) + n ( E 2 ) + ...... + n ( E n ) = n ( S ) …… ( 1 ) Here, n ( E 1 ) + n ( E 2 ) + ...... + n ( E n ) are the numbers of favorable outcomes for the events E 1 , E 2 , E 3 , .... , E n and n ( S ) is the total number of outcome. Divide equation ( 1 ) by n ( S ) on both side, n ( E 1 ) n ( S ) + n ( E 2 ) n ( S ) +

Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition

11th Edition

ISBN: 9781305283831

Author: Tan

Publisher: Cengage Learning

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Chapter 8.1, Problem 35E

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Chapter 8 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition

Ch. 8.1 - What is a random variable? Give an example.Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Three balls are selected at random without...Ch. 8.1 - 2.A coin is tossed four times. Let the random...Ch. 8.1 - A die is rolled repeatedly until a 6 falls...Ch. 8.1 - Cards are selected one at a time without...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

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Whether the given statement is true of false with explanation.

Solution Summary: The author evaluates whether the given statement is true or false. The probability of the event can be calculated by the formula shown below.

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