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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume the hold time of callers to a cable company is normally distributed with a mean of 3.2 minutes and a standard deviation of 0.6minute. Determine the percent of callers who are on hold for more than 3.2 minutes.
A SimAirlines aircraft that flies between BWI and San Diego airport has 100 seats, and there are two types of fares: full ($500) and discount ($300). Although there is an unlimited demand for the discount fare, demand for the full fare is estimated to be normally distributed with mean 24 seats and standard deviation 16 seats. To maximize the revenue generated from this flight, how many seats SimAirlines should protect for full-fare passengers?
HCC builds 3 and 4-unit apartment buildings for investors and it is believed that the total construction time in days follow a normal distribution. With improvements in construction technology, the mean time to construct a triplex was reduced from 100 days to 80 days, however the standard deviation increased from 20 to 25 days. Failure to complete the triplex in 125 days still results in severe penalty fees. After these technological improvements have been implemented by HCC, answer the following questions: a. What is the probability of HCC not violating the contract and what is the probability of HCC violating the contract?
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