Question

Let the random variable x denote the natural numbers selected at random from one to one hundred. find the mean of x.

Answer 1

The answer is 50.5. Since X will consist of a random selection of the numbers from 1 to 100, the mean will be the middle of the set of numbers from 1 to 100 (so between 50 and 51). Imagine the set of whole numbers 1 to 100. To calculate the mean, we have to sum all the numbers, then divide by n=100. That gives 50,500/100= 50.5.