Question: B. (4 points) Based on data supplied by Realty 2000/Better Homes and Gardens of Prescott, Arizona, we find the following joint distribution p(x, y)

B. (4 points) Based on data supplied by Realty 2000/Better Homes and

B. (4 points) Based on data supplied by Realty 2000/Better Homes and Gardens of Prescott, Arizona, we find the following joint distribution p(x, y) for the number of bedrooms (X) and the number of bathrooms (Y) for homes currently for sale. p(x, y) 2 3 4 X Y 2 3 4 5 3/50 0 0 0 7/25 6/25 1/25 0 1/25 11/50 1/10 1/50 a. What is the probability that there is a bathroom for each bedroom in a home? b. Within the segment of real-state homes for sale that have 2 bathrooms, what is the probability that there are also 4 bedrooms? c. A real-state agent visits several homes for sales per week with interested candidate buyers. What is the probability that only at his/her 7th visit, he/she can show for the second time a home with 4 bedrooms and 5 bath- rooms to interested buyers? d. In a village there are 50 homes for sale. What is the probability that at least 15 of these homes have 4 bedrooms? Use the normal distribution to approximate this probability.

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