Pep Zone sells auto parts and supplies including a popular multi-grade motor oil. When the stock of this oil drops to 40 gallons, a replenishment order is placed. The store manager is concerned that sales are being lost due to stock outs while waiting for a replenishment order. It has been determined that demand during replenishment lead-time is normally distributed with a mean of 25 gallons and a standard deviation of 9 gallons. The manager would like to know the probability of a stock out during replenishment lead-time. In other words, what is the probability that demand during lead-time will exceed 30 gallons?

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Answered: Pep Zone sells auto parts and supplies…

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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Pep Zone sells auto parts and supplies including a popular multi-grade motor oil. When the stock of this oil drops to 40 gallons, a replenishment order is placed. The store manager is concerned that sales are being lost due to stock outs while waiting for a replenishment order. It has been determined that demand during replenishment lead-time is normally distributed with a mean of 25 gallons and a standard deviation of 9 gallons. The manager would like to know the probability of a stock out during replenishment lead-time. In other words, what is the probability that demand during lead-time will exceed 30 gallons?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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