Binomial Distribution (Optional) · Exercise 4

Researchers collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the United States. Of those students, 71.3 percent replied that, yes, they agreed with a recent federal law that was passed.

Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number who agreed with that law.

Construct the probability distribution function (PDF).

$$\begin{array}{cc}\text{x}& \text{P(x)}\\ & \\ & \\ & \\ & \\ & \\ & \\ & \\ & \\ & \end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §4.3 Binomial Distribution (Optional) · Exercise 4