[5pt] Question 5. There are currently 15 homes for sale in a given city. 4 of them are new construction homes built in 2022 and the rest are built before 2022. Assume that a customer randomly selects 6 out of 15 available houses. Among the 6 houses randomly selected by the customer, let X be the number of new construction homes. Using the probability mass function of X, find the probability that there will exactly 3 new construction homes among the 6 randomly selected homes. Some diatom