You'd like to estimate the proportion of the 12,584 undergraduate students at a university who arefull-time students. You poll a random sample of 275 students, of whom 261 arefull-time. Unknown toyou, the proportion of all undergraduate students who arefull-time students is 0.958. Let X denote a random variable for which x=0 denotespart-time students and x=1 denotesfull-time students .

The data distribution is based on thex-values in the sample of size 275, of which

nothing

are 0 and

nothing

are1, so P(0)=

nothing

and P(1)=

nothing

.