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-9 and B = 12. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 11.1 liters; (b) more than 9.3 liters but less than 10.8 liters; (c) at least 10.2 liters.

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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 = 9 and B = 12. Find the probability that on a given day the amount of
coffee dispensed by this machine will be
(a) at most 11.1 liters;
(b) more than 9.3 liters but less than 10.8 liters;
(c) at least 10.2 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 = 9 and B = 12. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 11.1 liters; (b) more than 9.3 liters but less than 10.8 liters; (c) at least 10.2 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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