# week5 - 1. A recent report in BusinessWeek indicated that...

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1. A recent report in BusinessWeek indicated that 32 percent of all employees steal from their company each year. (Round z-score computation to 2 decimal places and your final answers to 4 decimal places.) If a company employs 50 people, what is the probability that: (a ) fewer than 11 employees steal? Probability (b ) more than 11 employees steal? Probability (c) exactly 11 employees steal? Probability (d ) more than 11 but fewer than 21 employees steal? Probability Explanation: a. .0475, found by: Then (10.5 – 16)/3.30 = -1.67, for which the area is .4525. Then 0.5000 – .4525 = .0475 b. .9131, found by (11.5 – 16)/3.30 = -1.36, for which the area is .4131. Then 0.5000 + .4131 = . 9131 c. .0394, found by (10.5 – 16)/3.298 = -1.67 and (11.50 – 16)/3.298 = -1.36. Then .4525 – .4131 = .0394 d. .8262, found by adding the area between z = -1.36 and z = 1.36. Then .4131 +.4131 = .8262 2. The mean of a normal probability distribution is 380; the standard deviation is 8.

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Explanation: a. 15.87%, found by (7.5 – 10.0)/2.5 = – 1.00, then 0.5000 – .3413 = .1587 b. 9.23%, found by: (13 – 10.0)/2.5 = 1.20. Area is .8849 z = (15 – 10.0)/2.5 = 2.00. Area is .9772 The area between 13 and 15 is .0923, found by .9772 – .8849. c.

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## This note was uploaded on 01/08/2012 for the course QM-2241 XTIB taught by Professor Stine during the Spring '09 term at Troy.

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week5 - 1. A recent report in BusinessWeek indicated that...

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