Question

What does the expected value of a binomial distribution with n trials tell you?

Answer 1

The expected value of a binomial distribution with n trials tell us about the the average number of successes

Explanation:

A binomial distribution is a frequency distribution of the possible number of successful outcomes in a given number of trials such that there is the same probability of success of each of the outcome.

For n trials with probability of success of each outcome as p, expected value of a binomial distribution is given by
`E\left ( X \right )=np` .

If we toss 200 coins, and X is the number of heads, the expected value of X is 100= (1/2)200.

So, basically the expected value of a binomial distribution with n trials tell us about the the average number of successes .