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.)
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.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![**Probability Questions Related to Coffee Dispensed by a Machine**
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d1e5150-1781-42a0-9e07-3d8cfcc0113b%2Fbd9ccb18-e240-4a15-a5b0-cfc68bd76698%2Ff7zmhgf_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Questions Related to Coffee Dispensed by a Machine**
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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