A salesperson finds that, in the long run, two out of five sales calls are successful. Twelve calls are to be made. Let X = the number of concluded sales. Is X a binomial random variable? Explain!

Question

A salesperson finds that, in the long run, two out of five sales calls are successful.  Twelve calls are to be made.  Let X = the number of concluded sales.  Is X a binomial random variable?  Explain!

MathGuru · Answer

Yes. With a binomial distribution, you have two outcomes. In this case, the outcomes are success or failure.