Let Y be a random variable with mean 11 and variance 9. Using Tchebysheff’s theorem, find
a a lower bound for P(6 < Y < 16).
b the value of C such that P(|Y − 11| ≥ C) ≤ .09.
Step 1 of 2
a) We have to lower bound for
And Variance( =9
By Tchebysheff’s theorem
Here given that
11-3k=6 and 11+3k=16
By solving above 2 equations we can get the values of ‘k’
Hence the lower bound is 0.64
Textbook: Mathematical Statistics with Applications
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. This full solution covers the following key subjects: Bound, Find, let, Lower, mean. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The answer to “Let Y be a random variable with mean 11 and variance 9. Using Tchebysheff’s theorem, finda a lower bound for P(6 < Y < 16).b the value of C such that P(|Y ? 11| ? C) ? .09.” is broken down into a number of easy to follow steps, and 38 words. The full step-by-step solution to problem: 167E from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. Since the solution to 167E from 3 chapter was answered, more than 895 students have viewed the full step-by-step answer.