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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.
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?
A major television manufacturer has determined that its 50-inch LED televisions have a meanservice life that can be modeled by a normal distribution with a mean of six years and a standarddeviation of one-half year. What service period (in year) would achieve an expected wear out rate of 5%?
In August of the current year, a car dealer istrying to evaluate the monthly profitability. Below isinformation the car dealer observed based on historical data:• The ordering cost of carsfollows a triangular distribution, with a minimum cost of $5,000,a maximum cost of $17,000, and most likely to be $11,000.• The monthly demand for the dealer’s cars is normally distributed with mean of 50 andstandard deviation of 10 (use an excel function to round the sales quantity to the nearestinteger).• Depending on the model and year, the dealer sets the selling price of each car followinga uniform distribution between $8,000 and $30,000. Assume that there is no associationbetween each car’s ordering cost and selling price.• In addition, the dealer expends $100,000 every month on the employees’ salary.(2) Build a profit model for this car dealer that incorporates the uncertainties in selling price,ordering cost, and sales quantity. (Hint: Use the Uncertain Profit example as a template,BUT there…
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 19 minutes and a standard deviation of 3 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 3% of its customers, how long should it make the guaranteed time limit? Question Help v (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.) (b) The guaranteed time limit is minutes. (Round up to the nearest integer as needed.) Enter your answer in each of the answer boxes. 1:20 PM P Type here to search AD4 d0E ENG 3/21/2021 DELL PgUp Delete PrtScr Insert F11 F12 F10 F9 F7 F8 F6 F4 F5 F2 F3 A Backspace Esc F1 &…
An auto parts detailer uses a 5-week periodic review system to replenish its inventory stocks. The lead time is assumed to be 1 week since an order is placed to its receipt. The demand for an auto part during the 6 weeks (review period and lead time) is observed to be normally distributed with and mean of 200 units with a standard deviation of 5 units. If the manager places an order of 30 units with no other stocks for this product in-hand, what is provability that there will be stock out prior to the arrival of the replenishment? Round to 3-decimal places O a. None is correct O b. 0.023 O c. 0.421 O d. 0.500 O e. 0.726

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