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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

solve the following

**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.)
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.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman