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 11.4 liters; (b) more than 9.6 liters but less than 10.8 liters; (c) at least 11.1 liters. (a) The probability is (Simplify your answer.)
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 11.4 liters; (b) more than 9.6 liters but less than 10.8 liters; (c) at least 11.1 liters. (a) The probability is (Simplify your answer.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 11.4 liters;
(b) more than 9.6 liters but less than 10.8 liters;
(c) at least 11.1 liters.
(a) The probability is
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82603ab2-5394-42c3-b72e-6cc3c1d0f313%2F7848603a-1232-4b42-8a25-cb6d508370c0%2F5vd18qa_processed.png&w=3840&q=75)
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 11.4 liters;
(b) more than 9.6 liters but less than 10.8 liters;
(c) at least 11.1 liters.
(a) The probability is
(Simplify your answer.)
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VIEWStep 2: Define probability distribution function:
VIEWStep 3: Calculate the probability of the amount of coffee dispensed at most 11.4 liters:
VIEWStep 4: Calculate probability of the amount of coffee dispensed more than 9.6 but less than 10.8 liters:
VIEWStep 5: Calculate the probability of the amount of coffee dispensed at least 11.1 liters:
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