Geometric 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 agree with a recent law that was passed. Suppose that you randomly select freshman from the study until you find one who replies yes. You are interested in the number of freshmen you must ask.

Construct the probability distribution function (PDF). Stop at x = 6.

$$\begin{array}{cc}\text{x}& \text{P(x)}\\ \text{1}& \\ \text{2}& \\ \text{3}& \\ \text{4}& \\ \text{5}& \\ \text{6}& \end{array}$$

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

OpenStax, Statistics · §4.4 Geometric Distribution (Optional) · Exercise 4