Who is the king of late night TV? An Internet survey estimates that, when given a choice between David Letterman and Jay Leno, 52% of the population prefers to watch Jay Leno. Suppose that you randomly select three late night TV watchers and ask them which of the two talk show hosts they prefer.

Question

a) Find the probability distribution for x, the number of people in the sample of three who would prefer Jay Leno.

Answer 1

Using this formula:
P(x) = (nCx)(p^x)[q^(n-x)]
Note: q = 1 - p

We have:
P(x) = (3Cx)(.52^x)[.48^(3-x)]