Mathematics Homework Help

I’m working on a statistics question and need an explanation to help me understand better.

Within a particular UBCO dormitory of 40 students, 16 prefer watching Jimmy Kimmel, 10 prefer watching Jimmy Fallon, and 14 prefer watching Stephen Colbert on late night television. Suppose 2 people are randomly chosen and asked who they prefer watching on late night television. Let Y be the number of students in the sample who prefer Kimmel.

2(a) Complete the probability mass function for Y in the form of a table below.

y
P(Y = y)

2 (b) Construct the cummulative distribution function (cdf) for Y (you may either draw a plot or write it down in terms of a function of y).