6.6 Selling houses Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P102 = 0.68, P112 = 0.19, P122 = 0.09, P132 = 0.03, P142 = 0.01, with negligible probability for higher values of x.

a. Explain why it does not make sense to compute the mean of this probability distribution as 10 + 1 + 2 + 3 + 42 >5 = 2.0 and claim that, on average, she expects to sell 2 homes.

b. Find the correct mean and interpret.