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? If the company wants to guarantee that all trash will be picked up 90% of the time what should be the capacity of the pickup service? O 27 O 28 O 29 O 30 O 31 O 32 O 3 O 34
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? If the company wants to guarantee that all trash will be picked up 90% of the time what should be the capacity of the pickup service? O 27 O 28 O 29 O 30 O 31 O 32 O 3 O 34
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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?
If the company wants to guarantee that all trash will be picked up 90% of the time what should be
the capacity of the pickup service?
O 27
O 28
O 29
O 30
O 31
O 32
O 33
O 34
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