The following formula is involved in the calculation of expected values for a binomial random variable:

Expected value for a binomial random variable:
where n is the number of trials, and p is the probability of a successful outcome.

The following references can be used to cite this expected value calculator for a binomial random variable:
 Soper, D.S. (2016). Expected Value Calculator for a Binomial Random Variable [Software]. Available from http://www.danielsoper.com/statcalc 
 Keller, G. (2011). Statistics for Management and Economics (9th edition). Mason, OH: SouthWestern Cengage. 