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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
22.    Â
Estimating the Standard Deviation: Refrigerator Replacement Consumer Reports indicated that the average life of a refrigerator before replacement is m = 14 years with a (95% of data) range from 9 to 19 years. Let x = age at which a refrigerator is replaced. Assume that x has a distribution that is approx- imately normal.
(a)Â Â Â Â Find a good approximation for the standard deviation of x values. Hint: See Problem 31.
(b)Â Â Â What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
(c)    What is the probability that someone will keep a refrigerator more than 18 years before replacement?
(d)Â Â Â Inverse Normal Distribution Assume that the average life of a refrigerator is 14 years, with the standard deviation given in part (a) before it breaks. Suppose that a company guarantees refrigerators and will replace a refriger- ator that breaks while under guarantee with a new one. However, the company does not want to replace more than 5% of the refrigerators under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
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