Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 11 - Probability and Calculus - 11.2 Expected Value and Variance of Continuous Random Variables - 11.2 Exercises - Page 585: 16


a. m=5 b. 0

Work Step by Step

We are given $f(x)=\frac{1}{10}; [0;10]$ The expected value $\mu=5$ a. The median is $\int^{m}_{0}f(x)dx = \frac{1}{2}$ $\int^{m}_{0}\frac{1}{10} dx= \frac{1}{2}$ $\frac{1}{10}m - 0= \frac{1}{2}$ $m=5$ b. The probability between mean and median $P(5 \leq X \leq 5)=\int^{5}_{5}\frac{1}{10}dx =\frac{1}{10}x|^{5}_{5}=0$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.