An auto parts detailer uses a 5-week periodic review system to replenish its inventory stocks. The leadtime is assumed to be 1 week since an order is placed to its receipt. The demand for an auto part during the6 weeks (review period and lead time) is observed to be normally distributed with and mean of 200 unitswith a standard deviation of 5 units. If the manager places an order of 30 units with no other stocks for thisproduct in-hand, what is provability that there will be stock out prior to the arrival of the replenishment?Round to 3-decimal placesO a.None is correctO b. 0.023O c. 0.421O d. 0.500O e.0.726

Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Answered: An auto parts detailer uses a 5-week…

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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A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 34000 miles and a standard deviation of 2100 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?
A study of Brown Bag Company's payment practices showed that the company pays its vendors 20 days after the accounting department receives the invoice. The standard deviation is 5 days. Assuming that there is a normal distribution across the company's payments, what percent of the invoices are paid within 15 days of receiving them? Based on your answer, recommend an effective payment strategy for the company.
The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 40 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty. what % of batteries can be expected to require repair or replacement under warranty. (Round to two decimal places as needed.)
Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 3.0 seconds; what is the average value of the distribution?
The inflation adjusted annual return of a diversified asset portfolio is assumed to have a normal distribution with a mean of 3.5% and a standard deviation of 1.25%. Represent the value for the inflation adjusted annual return that 95% of outcomes would exceed on a diagram and determine this value.
Consider a population of 1024 mutual funds that primarily invest in large companies. You have determined that u, the mean one-year total percentage return achieved by all the funds, is 9.80 and that o, the standard deviation, is 0.50. Complete (a) through (c). a. According to the empirical rule, what percentage of these funds is expected to be within +2 standard deviations of the mean? 95 % b. According to the Chebyshev rule, what percentage of these funds are expected to be within +2 standard deviations of the mean? 75 % (Round to two decimal places as needed.) c. According to the Chebyshev rule, at least 88.89% of these funds are expected to have one-year total returns between what two amounts? Between and (Round to two decimal places as needed.)
During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate the time it takes the loading crew to load a truck. The shipping manager has found that she can model the load times using a normal distribution with a mean of 152 minutes and a standard deviation of 15 minutes. Use this table or the ALEKS calculator to find the percentage of load times between 116 minutes and 149 minutes according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
The Abendigo Division of Block C Enterprises has a product designed to operate for 1700 hours with a failure rate of 3.0%. Calculate the Mean Time to Failure.

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