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A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? O« 25% >=25% and < 50%

A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? O« 25% >=25% and < 50%

A First Course in Probability (10th Edition)
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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A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability. 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? O<25% >= 25% and < 50% >- 50% and < 75% O > 75%
Transcribed Image Text:A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability. 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? O<25% >= 25% and < 50% >- 50% and < 75% O > 75%
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