Exercise 1: Canada's sugar industry is an integral part of Canadian history, and a value- added success story. Currently, there are three cane sugar refineries in Canada. Suppose that a Canadian sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of raw sugar (in tons) that one plant can process in one day can be modeled using an exponential distribution with mean of 4 tons for each of three plants. Assume that each plant operates independently. 1. On a given day a plant has processed more than a ton of raw sugar. What is the probability that a plant will process 4 more? 2. Find the probability that exactly two of the three plants process more than 4 tons of raw sugar on a given day. 3. How much raw sugar should be stocked for the plant each day so that the chance of running out of the raw sugar is only 0.05?

Exercise 1: Canada's sugar industry is an integral part of Canadian history, and a value- added success story. Currently, there are three cane sugar refineries in Canada. Suppose that a Canadian sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of raw sugar (in tons) that one plant can process in one day can be modeled using an exponential distribution with mean of 4 tons for each of three plants. Assume that each plant operates independently. 1. On a given day a plant has processed more than a ton of raw sugar. What is the probability that a plant will process 4 more? 2. Find the probability that exactly two of the three plants process more than 4 tons of raw sugar on a given day. 3. How much raw sugar should be stocked for the plant each day so that the chance of running out of the raw sugar is only 0.05?

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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Exercise 1:
Canada's sugar industry is an integral part of Canadian history, and a value-
added success story. Currently, there are three cane sugar refineries in Canada.
Suppose that a Canadian sugar refinery has three processing plants, all receiving
raw sugar in bulk. The amount of raw sugar (in tons) that one plant can process
in one day can be modeled using an exponential distribution with mean of 4
tons for each of three plants. Assume that each plant operates independently.
1. On a given day a plant has processed more than a ton of raw sugar. What
is the probability that a plant will process 4 more?
2. Find the probability that exactly two of the three plants process more
than 4 tons of raw sugar on a given day.
3. How much raw sugar should be stocked for the plant each day so that the
chance of running out of the raw sugar is only 0.05?

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