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. 62.7% 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 first-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", XB(8,0.627) .

(a) Construct the probability distribution function (PDF).

Round your answers to four decimal places.

x	p(x)
0
1
2
3
4
5
6
7
8

(b) On average ( ), how many would you expect to answer yes?

Round your answer to two decimal places.

=