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. What is the probability that you will need to ask fewer than three freshmen

Incomplete question

Complete question: 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. What is the probability that you will need to ask fewer than three freshmen?

P = 0.08656

Step-by-step explanation:

Using the concept of geometric distribution

P(X=x) = p(1-p)^1-x

Where x is the number of freshmen asked and p is the probability of success

Given probability of success as 71.3%

Therefore, P = 0.713

Probability that you'll need to ask less than 3 freshmen is given as

P = p(1-p)^1-x

x = 3 and p = 0.713

P = 0.713(1-0.713)^1-3

P = 0.713(0.287)^-2

P =0.713×12.140

P = 8.656%

P = 0.08656