Binomial Distribution

Step 1: Understanding the problem.
We are given the probability mass function (p.m.f.) for the random variable in the form of a binomial distribution. For a binomial random variable , the expected value is given by: where is the number of trials and is the probability of success in each trial. In this case, and .

Step 2: Calculate the expected value.
Substitute the values into the formula for :

Step 3: Conclusion.
Thus, the expected value , so the correct answer is (A).