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 = 8 and B = 11. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 9.5 liters; (b) more than 8.2 liters but less than 9.4 liters; (c) at least 8.9 liters. (a) The probability is (Simplify your answer.) (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 = 8 and B = 11. Find the probability that on a given day the amount of coffee dispensed
by this machine will be
(a) at most 9.5 liters;
(b) more than 8.2 liters but less than 9.4 liters;
(c) at least 8.9 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 = 8 and B = 11. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 9.5 liters; (b) more than 8.2 liters but less than 9.4 liters; (c) at least 8.9 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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