Let X follow a binomial distribution. Show that Var[X] ≤ E[X]
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Let X follow a binomial distribution. Show that Var[X] ≤ E[X].
Expert Solution
Step 1
Let us consider X follow a binomial distribution with parameter n & p, then
X~Bin(n,p)
We know that both 0≤ p,q≤ 1
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