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A manufacturing plant uses a specific bulk product. The amount of product used in or my can be modeled by a gamma distribution with a = 1.5 and ß= 3. Round your answer 4 decimals. Hint: Use R. a. Find the probability that the plant will use more than 4 tons on a given day. b. Find the probability that the plant will use between 2.5 and 6 tons on a given day. c. How much of the bulk product should be stocked so that the plant's chance of running out of the product is only 0.05?

A manufacturing plant uses a specific bulk product. The amount of product used in or my can be modeled by a gamma distribution with a = 1.5 and ß= 3. Round your answer 4 decimals. Hint: Use R. a. Find the probability that the plant will use more than 4 tons on a given day. b. Find the probability that the plant will use between 2.5 and 6 tons on a given day. c. How much of the bulk product should be stocked so that the plant's chance of running out of the product is only 0.05?

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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2. A manufacturing plant uses a specific bulk product. The amount of product used in one day can be modeled by a gamma distribution with a = 1.5 and ß= 3. Round your answers to 4 decimals. Hint: Use R. a. Find the probability that the plant will use more than 4 tons on a given day. b. Find the probability that the plant will use between 2.5 and 6 tons on a given day. c. How much of the bulk product should be stocked so that the plant's chance of running out of the product is only 0.05?
Transcribed Image Text:2. A manufacturing plant uses a specific bulk product. The amount of product used in one day can be modeled by a gamma distribution with a = 1.5 and ß= 3. Round your answers to 4 decimals. Hint: Use R. a. Find the probability that the plant will use more than 4 tons on a given day. b. Find the probability that the plant will use between 2.5 and 6 tons on a given day. c. How much of the bulk product should be stocked so that the plant's chance of running out of the product is only 0.05?
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