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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
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| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Normal approximation
The owner of a new apartment building must install 25 water heaters. From past experience in other apartment buildings, she knows that Quick Hot is a good brand. A Quick Hot heater is guaranteed for 5 years only, but from the owner’s past experience, she knows that the probability it will last 10 years is 0.25.
(a) What is the probability that 8 or more of the 25 water heaters will last at least 10 years? Define success to mean a water heater that lasts at least 10 years.
(b) How does this result compare with the result we can obtain by using the formula for the binomial probability distribution with  n = 25 and p = 0.25?
(c) How do the results of parts (a) and (b) compare?
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