To determine Find the probability distribution for the number of jazz CDs when 4 CDs are selected at random. Express the result is using a formula. Explanation Calculation: Define the random variable X the number of jazz CDs. Here, four jazz CDs are selected and the possible values X can take are 0, 1, 2, 3, and 4. Total number of CDs = 10 Number of ways of selecting 4 CDs is ( 10 4 ) . From 5 jazz CDs, x number of jazz CDs can be selected in ( 5 x ) ways. From the remaining 5 CDs, (4 – x ) number of CDs can be selected in ( 5 4 − x ) ways. Thus, the general result is given by, f ( x ) = ( 5 x ) ( 5 4 − x ) ( 10 4 ) , x = 0 , 1 , 2 , 3 , 4 When X = 0, P ( X = 0 ) = ( 5 0 ) ( 5 4 ) ( 10 4 ) = 1 × 5 210 = 5 210 When X = 1, P ( X = 1 ) = ( 5 1 ) ( 5 3 ) ( 10 4 ) = 5 × 10 210 = 50 210

Probability and Statistics for Engineers and Scientists

9th Edition

ISBN: 9780321629111

Author: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye

Publisher: Prentice Hall

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Chapter 3.3, Problem 24E

To determine

Find the probability distribution for the number of jazz CDs when 4 CDs are selected at random.

Express the result is using a formula.

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Chapter 3.3, Problem 23E

Chapter 3.3, Problem 25E

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Chapter 3 Solutions

Probability and Statistics for Engineers and Scientists

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