program of truck replacement, using the following procedure: (i) Any truck that has had more than 1 major breakdown on the job within a year will be evaluated to determine the gas mileage (how many miles it gets per gallon of gas); (ii) Any truck given this special evaluation will be replaced if it gets less than 9 miles per gallon. From prior experience, the contractor knows two facts with a high degree of confidents: 1) for each truck, the mean rate of major breakdown is once every 0.75 year; 2) the gas consumption of trucks that have more than 1 major breakdown is a normal variate N(10, 2.5) in miles per gallon. (a) What is the probability that a given truck will have more than 1 breakdown within a year? (b) What is the probability that a truck getting a special evaluation will fail to meet the gas millage test (see ii above)? (c) What is probability that a given truck will be replaced within a year? (d) What is the probability that the contractor will replace exactly 1 truck within a year?
program of truck replacement, using the following procedure: (i) Any truck that has had more than 1 major breakdown on the job within a year will be evaluated to determine the gas mileage (how many miles it gets per gallon of gas); (ii) Any truck given this special evaluation will be replaced if it gets less than 9 miles per gallon. From prior experience, the contractor knows two facts with a high degree of confidents: 1) for each truck, the mean rate of major breakdown is once every 0.75 year; 2) the gas consumption of trucks that have more than 1 major breakdown is a normal variate N(10, 2.5) in miles per gallon. (a) What is the probability that a given truck will have more than 1 breakdown within a year? (b) What is the probability that a truck getting a special evaluation will fail to meet the gas millage test (see ii above)? (c) What is probability that a given truck will be replaced within a year? (d) What is the probability that the contractor will replace exactly 1 truck within a year?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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program of truck replacement, using the following procedure:
JA contractor owns 3 trucks for use in his construction jobs. He decides to institute a new
(i) Any truck that has had more than 1 major breakdown on the job within a year will be evaluated to
determine the gas mileage (how many miles it gets per gallon of gas);
(ii) Any truck given this special evaluation will be replaced if it gets less than 9 miles per gallon.
From prior experience, the contractor knows two facts with a high degree of confidents: 1) for each
truck, the mean rate of major breakdown is once every 0.75 year; 2) the gas consumption of trucks that
have more than 1 major breakdown is a normal variate N(10, 2.5) in miles per gallon.
(a) What is the probability that a given truck will have more than 1 breakdown within a year?
(b) What is the probability that a truck getting a special evaluation will fail to meet the gas millage test
(see i above)?
(c) What is probability that a given truck will be replaced within a year?
(d) What is the probability that the contractor will replace exactly 1 truck within a year?
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