Question

Use the following information to answer the next six exercises: The Higher Education Research Institute at UCLA collected data from$203,967$ incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. 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.

Short answer

The probability distribution function (PDF)

Step-by-step solution

Introduction

a probability distribution is a numerical capacity that gives the probabilities of events of various potential results for an experiment. It is a numerical portrayal of an arbitrary peculiarity as far as its example space and the probabilities of occasions

explanation 

Using$P(X=x)=p(1-p{)}^{x-1};0\le p\le 1,x=1,2,3,4,5,6$

we calculate the probability of x trials,

Substituting the values of x in the formula, we get the probability distribution function (PDF)