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 10.2 liters; (b) more than 9.3 liters but less than 10.2 liters; (c) at least 11.4 liters.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
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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 10.2 liters;
(b) more than 9.3 liters but less than 10.2 liters;
(c) at least 11.4 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 10.2 liters; (b) more than 9.3 liters but less than 10.2 liters; (c) at least 11.4 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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