5)- The distribution of the demand (in number of units per unit time) for a product can often be approximated by a normal probability distribution. For example, a communication cable company has determined that the number of push-button terminal switches demanded daily has a normal distribution with mean 200 and standard deviation 50. 1. a) On what percentage of days will the demand be less than 90 switches? 2. b) On what percentage of days will the demand fall between 225 and 275 switches? 3. c) Based on cost considerations, the company has determined that its best strategy is to produce a sufficient number of switches so that it will fully supply demand on 94% of all days. How many terminal switches should the company produce per day?
5)- The distribution of the demand (in number of units per unit time) for a product can often be approximated by a normal probability distribution. For example, a communication cable company has determined that the number of push-button terminal switches demanded daily has a normal distribution with mean 200 and standard deviation 50. 1. a) On what percentage of days will the demand be less than 90 switches? 2. b) On what percentage of days will the demand fall between 225 and 275 switches? 3. c) Based on cost considerations, the company has determined that its best strategy is to produce a sufficient number of switches so that it will fully supply demand on 94% of all days. How many terminal switches should the company produce per day?
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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5) 1, 2, and 3. Please solve them step by step.
Transcribed Image Text:5)- The distribution of the demand (in number of units per unit time) for a product can often be
approximated by a normal probability distribution. For example, a communication cable company has
determined that the number of push-button terminal switches demanded daily has a normal
distribution with mean 200 and standard deviation 50.
1. a) On what percentage of days will the demand be less than 90 switches?
2. b) On what percentage of days will the demand fall between 225 and 275 switches?
3. c) Based on cost considerations, the company has determined that its best strategy is to produce a
sufficient number of switches so that it will fully supply demand on 94% of all days. How many
terminal switches should the company produce per day?
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