KA car manufacturer uses a continuous review system to manage inventory ofone of its engine's component. The demand for the component is normallydistributed with an average of 53 units per week. Current lead time is 3weeks. The standard deviation of demand is 11 units.a. What is the probability of demand exceeding the reorder point when thereorder quantity is set at 190 units?The probability is %. (Enter your response rounded to two decimalplaces.)b. What is the probability of demand exceeding the 190 units, if the supplierdelays the lead time to 4 weeks?The probability is %. (Enter your response rounded to two decimalplaces.)

Given information: μ=53 unitsσ=11 units

Answered: A car manufacturer uses a continuous…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a Q system, the demand rate for strawberry ice cream is normally distributed, with an average of 295 pints per week. The lead time is 6 weeks. The standard deviation of weekly demand is 16 pints. Refer to the standard normal table for z-values. a. The standard deviation of demand during the 6-week lead time is 39 pints. (Enter your response rounded to the nearest whole number.) b. The average demand during the 6-week lead time is 1770 pints. (Enter your response as an integer.) c. The reorder point that results in a cycle-service level of 96 percent is pints. (Enter your response rounded to the nearest whole number.)
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The revenue of a shop is approximately normally distributed with a mean of $4500 and a standard deviation of $800.Find the revenue, y, for which 33% of revenue are below it.
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