Final answer:
The Binomial Distribution with parameters n and p has the expected value E[X] = np and represents the number of successes in n independent trials.
Step-by-step explanation:
The distribution with the expected value E[X] = np is the Binomial Distribution with parameters n and p. This distribution arises from performing a fixed number, n, of independent trials with two possible outcomes: success with probability p and failure with probability q, where q=1-p. The mean of the binomial distribution is given by μ = np, and it applies when you are looking for the probability of exactly x successes in n trials.