The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 68.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight rst-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X = the number that reply "yes", X N B (8,0.685). (a) Construct the probability distribution function (PDF). Round your answers to four decimal places