# Question

Let X represents the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0) = 0.68, P(1) = 0.19, P(2) = 0.09, P(3) = 0.03, P(4) = 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

(0 + 1 + 2 + 3 + 4)/5 = 2.0.

b. Find the correct mean.

a. Explain why it does not make sense to compute the mean of this probability distribution as

(0 + 1 + 2 + 3 + 4)/5 = 2.0.

b. Find the correct mean.

## Answer to relevant Questions

Consider a Pick-3 lottery such as the one described in Exercise 6.6. Suppose your birthday is May 14, and like many people, you decide to bet $1 on your birthday number (i.e., 514) on your birthday. There are two options to ...Find the z -score such that the interval within z standard deviations of the mean contains probability (a) 0.95 (b) 0.99 for a normal distribution. Sketch the two cases on a single graph. Mac’s fast-food restaurant finds that its daily profits have a normal distribution with mean $140 and standard deviation $80. a. Find the probability that the restaurant loses money on a given day (that is, daily profit ...In a given year, the probability that an adult American female dies in a motor vehicle accident equals 0.0001. a. In a city having 1 million adult American females, state assumptions for a binomial distribution to apply to X ...Justify the px(1 - p)n-x part of the binomial formula for the probability P (x) of a particular sequence with x successes, using what you learned in Section 5.2 about probabilities for intersections of independent events.Post your question

0