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. 70.4%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 variableX=the number that reply "yes",XB(8,0.704)

(a) Construct the probability distribution function (PDF). Round your answers to four decimal places.

xx	P(x)Px
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. ==

(c) What is the standard deviation ()? Round your answer to two decimal places. ==