Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 10 Oct 2017 My Price 10.00

number of hours a battery

The number of hours a battery lasts before failing varies from battery to battery. The distribution of failure times follows an exponential distribution (see Example 11.8 page 299), which is strongly skewed to the right. The central limit theorem says that

(a) as we look at more and more batteries, their average failure time gets ever closer to the mean μ for all batteries of this type.

(b) the average failure time of a large number of batteries has a distribution of the same shape (strongly skewed) as the distribution for individual batteries.

(c) the average failure time of a large number of batteries has a distribution that is close to Normal.

Example 11.8:

STATE: The time (in hours) that a technician requires to perform preventive maintenance on an air-conditioning unit is governed by the exponential distribution whose density curve appears in Figure 11.5(a). The exponential distribution arises in many engineering and industrial problems, such as time until failure of a machine or time until a success. The mean time is 𝜇= 1 hour and the standard deviation is 𝜎= 1 hour. Your company has a contract to maintain 70 of these units in an apartment building.

You must schedule technicians’ time for a visit to this building. Is it safe to budget an average of 1.1 hours for each unit? Or should you budget an average of 1.25 hours? PLAN: We believe that the manufacturing and distribution process associated with this type of air-conditioning unit is such that variation from one unit to the next is random. Thus, we treat these 70 air conditioners as an SRS from all units of this type. What is the probability that the average maintenance time for 70 units exceeds 1.1 hours? That the average time exceeds 1.25 hours?

Answers

Maurice Tutor
(5)
Status NEW Posted 10 Oct 2017 12:10 PM My Price 10.00

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