Explanation Given: The probability that exactly N injury claims received in a month is P ( N = n ) = 1 ( n + 1 ) ( n + 2 ) . Explanation: Here, N is a random variable that represents the number of injury claims received in a month. The probability for the random variable N is P ( N = n ) = 1 ( n + 1 ) ( n + 2 ) Here, n ≥ 0 Given that at most 4 injury claims received in a particular month. So, the random variable N will take values from 0 to 4. The probability that exactly 0 claims received in a month is P ( N = 0 ) = 1 ( 0 + 1 ) ( 0 + 2 ) = 1 1 × 2 = 1 2 . The probability that exactly 1 claim received in a month is P ( N = 1 ) = 1 ( 1 + 1 ) ( 1 + 2 ) = 1 2 × 3 = 1 6 . The probability that exactly 2 claims received in a month is P ( N = 2 ) = 1 ( 2 + 1 ) ( 2 + 2 ) = 1 3 × 4 = 1 12 The probability that exactly 3 claims received in a month is P ( N = 3 ) = 1 ( 3 + 1 ) ( 3 + 2 ) = 1 4 × 5 = 1 20 The probability that exactly 4 claims received in a month is P ( N = 4 ) = 1 ( 4 + 1 ) ( 4 + 2 ) = 1 5 × 6 = 1 30 So, the probability that at most 4 claims received in a month is

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

11th Edition

ISBN: 9780133886818

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8, Problem 64RE

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The probability that at least one claim received during a particular month.

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Chapter 8, Problem 63RE

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Chapter 8 Solutions

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 1-12, evaluate the factorial or...

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The probability that at least one claim received during a particular month.

Solution Summary: The author explains how the random variable N represents the number of injury claims received in a month.

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