19)   Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother’s house.  Unknown to the man, three of these can contains an incorrect mix of paint.  For this weekend’s big project, the man randomly selects four of these 1-gallon cans to paint his mother’s living room.  Let x = the number of the paint cans selected that are defective.   Unknown to the man, x follows a hypergeometric distribution.  Find the standard deviation of this distribution. A) 545 B) 297 C) 1 D) 739

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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19)   Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother’s house.  Unknown to the man, three of these can contains an incorrect mix of paint.  For this weekend’s big project, the man randomly selects four of these 1-gallon cans to paint his mother’s living room.  Let x = the number of the paint cans selected that are defective.   Unknown to the man, x follows a hypergeometric distribution.  Find the standard deviation of this distribution.

A) 545

B) 297

C) 1

D) 739

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