Solution Found!
Let X equal an integer selected at random from the first m positive integers, {1, 2, ..
Chapter 2, Problem 2.3-7(choose chapter or problem)
Let X equal an integer selected at random from the first m positive integers, {1, 2, ... , m}. Find the value of m for which E(X) = Var(X). (See Zerger in the references.)
Questions & Answers
QUESTION:
Let X equal an integer selected at random from the first m positive integers, {1, 2, ... , m}. Find the value of m for which E(X) = Var(X). (See Zerger in the references.)
ANSWER:Step 1 of 5
=integer selected at random from the first positive integers
Since we random select one of the first positive integers, each integer from the set is equally likely and thus we have 1 chance in of selecting each integer:
Step 2 of 5
The expected value (or mean) is the sum of the product of each possibility with its probability