In a blouse factory, there is an inventory holding cost of S1.50 per piece per day, a late sale cost of S 3.00 per*garment per day, and an ordering cost of S 500.00There is a delivery time of 14 days per order and the exactdemand during this time is not known, but it is known tobe a random variable based on a normal distribution witha mean of 600 garments arid a standard deviation of 60.Determine the order size, reorder point and safety stock sOthat there is no shortage during 95% of the delivery time.

Answered: In a blouse factory, there is an…

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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Two students are taking a college entrance exam and known to have a normal distribution of scores. Both students receive raw scores of 60 and 97, which correspond to z scores (often called the standardized scores) of -1.5 and 3 respectively. 1 Denote the normal probability distribution of the raw exam scores. 2 Calculate the value of mean for the distribution of raw exam scores. 3 Calculate the value of standard deviation of the raw exam scores.
The life expectancy of poople in Oman is if the mean distributed. maly years and 6) years nor and standeard'deviation is (106) respectively, Find the probability that the life expectancy is between (104) and (76) gears
a company is producing a product that its size has a normal distribution with mean of 7and standard deviation of 0.1. A product that has a size of is called a standard product. Producing a standard product has 1250 profit. If a product is smaller than 6.91, it is not useable and will result in 1050 of negative profit. If the product is bigger than 7.09, producer will be able to fix it and make it as a standard product by spending $200. Calculate the expected profit for producing a product.
th A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, µ, of babies born during the 24"" week of the gestation period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate u. Assuming that the population of th birth weights of babies born during the 24"" week has a standard deviation of 2.6 pounds, what is the minimum sample size needed for the scientist to be 95% confident that her estimate is within 0.5 pounds of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) Continue Submit As
The pregnancy length of new mothers in a population is 267 days with a standard deviation of 10 days. What is the minimum pregnancy length that can be in the top 10% of pregnancy lengths? Assume that it is normal distribution.
The average lifetime of certain type of vehicle is 10 years with a standard deviation of 2 years. To spur on sales, the manufacturer wants to offer a warranty that will cover all repair or replacement costs on new vehicles for a period of time. If the manufacturer is willing to pay these costs for at most 3% of the cars that fail, for how long should a warranty provide coverage (in years)? Assume the lifetime of a car follows a normal distribution.
The mean life of a certain type of motor is 10 years with a standard deviation of 2 years.Assume that the useful life of an engine follows a normal distribution. The manufacturerreplaces all motors that fail free of charge while under warranty. If the company is willing toreplace only 3% of the motors that fail, how long should a warranty be?
The length of life time of a pesticide spray is normally distributed with a mean life timeis 12 months and standard deviation is 6 months. If this kind of spray is guaranteed for 10 months, find the probability of the sale that requires replacement.
Q4) A capacity of a battery is normally distributed with a mean of 25.2 Kw-hr and standard deviation of 0.1 Kw-hr, find the probability that a selected battery has a capacity more than 25.11 Kw-hr 0.758 O )0.864 O 0.691 O 0.816 O
Dr. Eliplim Agbenoxevi works in the Quality Control Department of a large Information Technology company in Ghana. The time, T minutes, it takes him to analyse a sample is normally distributed with mean 18 minutes and standard deviation 5 minutes. 1. Find the probability that he takes longer than 20 minutes to analyse the next sample The Information Technology company has a large store of samples analysed by Dr. Eliplim Agbenoxevi with the time taken for each analysis recorded. Another staff by name Dr. Akuvi Wolekplime is investigating the samples that took her colleague longer than 15 minutes to analyse. She selects, at random, one of the samples that took Dr. Eliplim Agbenoxevi longer than 15 minutes to analyse. 2. Find the probability that this sample took Dr. Akuvi Wolekplime more than 20 minutes to analyse, given that it took her colleague more than 15 minutes to analyse?
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 72 and the standard deviation is 18. Suppose that 50 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. 1. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 73.9 and 76.9. 2. For the 50 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 73.9 and 76.9.

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