Team A of a basketball game recorded the number of field goals (ball go into the hoop) as a Poisson process at a rate of 10 hits per 5 minutes. Each field goal is either a 2-point with probability 0.7 or a 3-point with probability 0.3. Over a 30-minutes interval, (a) Determine the joint probability mass function (pmf) of X, the number of 2-point goals, and Y, the number of 3-point goals? (convert your answer to minutes) (b) Compute the probability that 30 2-point goals and 15 3-point goals within the first 30- minutes interval