Answer:
e. 11.11
Step-by-step explanation:
We use the negative binomial distribution to solve this question.
The mean of the negative binomial distribution is the average number of trials required to produce r sucesses, with p probability. Mathematically, this is described by the following formula:
[tex]\mu = \frac{r}{p}[/tex]
In this problem, we have that:
Approximately 9 percent of the residents of a large city have seen a certain theater production that is currently playing in the city. This means that [tex]p =0.09[/tex]
What is the expected number of residents the researcher will need to ask to find someone who has seen the production?
This is [tex]\mu[/tex] when r = 1. So
[tex]\mu = \frac{r}{p}[/tex]
[tex]\mu = \frac{1}{0.09}[/tex]
[tex]\mu = 11.11[/tex]
So the correct answer is:
e. 11.11
