Explanation Given info: Cell phone “handoff” is the process by which a cell phone moves from one base channel to another. The number of times a cell phone changed channels (color codes) during a particular driving trip is 85. Of these 85 color codes, the cell phone accessed the color code “b” 40 times. The investigator randomly selects 7 of the 85 hand offs. Calculation: The random variable X is defined as the number of times the cell phone accessed color code “b” in the 7 handoffs. The total number of handoffs N is 85. Out of 85 handoffs 40 ( r ) were accessed color code “b”. A random sample of 7 ( n ) handoffs was selected. Thus, the random variable follows hypergeometric distribution. Hypergeometric distribution: A random variable x is said to follow a Hypergeometric distribution, if the probability distribution is p ( x ) = ( r x ) ( N − r n − x ) ( N n ) Where, x = Maximum [ 0 , n − ( N − r ) ] , .... , Minimum ( r , n ) = Number of "success", S , drawn in the n elements N = Total number of elements . r = Number of S ' s in the N elements . n = Number of elements drawn . The probability that the color code “b” was accessed 2 times of the 7 randomly selected handoffs (or 2 successes or S ’s) is: P ( X = 2 ) . Here, n − ( N − r ) = 7 − ( 85 − 40 ) = − 38 < 0

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ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 4.6, Problem 124ACI

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How likely it is that the cell phone accessed color code “b” only twice.

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Chapter 4.6, Problem 123ACI

Chapter 4.6, Problem 125ACI

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