The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with A = 7 and B = 10. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 8.8 liters; (b) more than 7.3 liters but less than 8.2 liters; (c) at least 7.9 liters.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a
continuous uniform distribution with A = 7 and B = 10. Find the probability that on a given day the amount of coffee
dispensed by this machine will be
(a) at most 8.8 liters;
(b) more than 7.3 liters but less than 8.2 liters;
(c) at least 7.9 liters.
(a) The probability is
(Simplify your answer.)
(b) The probability is
(Simplify your answer.)
(c) The probability is
(Simplify your answer.)
Transcribed Image Text:The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with A = 7 and B = 10. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 8.8 liters; (b) more than 7.3 liters but less than 8.2 liters; (c) at least 7.9 liters. (a) The probability is (Simplify your answer.) (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.)
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