Questions 1-3: The random variable x is the number of houses sold by a realtor in a single month at the Kennedy Real Estate Office. Its probability distribution is as follows. X P(x) 0.24 0.01 0.12 3 0.16 0.01 0.14 0.11 0.21 1. Is this a valid probability distribution? Explain. A. No, the x column cannot include a 0. B. No, the x column does not sum to 100. C. Yes, the P(x) column sums to 1.00. D. Yes, the P(x) column consists of several data types. 2. Based on this distribution, what is the probability that the number of houses sold next month will be 5 or more? A. 0.46 B. 0.14 C. 0.25 D. 0.32 3. What is the mean (Expected Value) of this distribution? A. 3.6 B. 3.5 C. 0.125 D. 0.320