Question

The probabilities that the customer will buy 1, 2, 3, 4 or 5 items in a grocery store are 1 6 , 1 6 , 1 6 , 2 6 and 1 6 , respectively. What is the average number of items that a customer will buy?

Answer 1

Average number of items $=∑x∙p(x)=19/6=3.167$

Therefore the customer will will buy 3 items on average.