Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales​ records, she estimates that Upper P left parenthesis 0 right parenthesis equals 0.63​, Upper P left parenthesis 1 right parenthesis equals 0.21​, Upper P left parenthesis 2 right parenthesis equals 0.12​, Upper P left parenthesis 3 right parenthesis equals 0.03​, Upper P left parenthesis 4 right parenthesis equals 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 left parenthesis 0 plus 1 plus 2 plus 3 plus 4 right parenthesis divided by 5 equals 2.0. b. Find the correct mean and interpret.