What is the n = to in the probability distribution

Question

Probability Distribution - A study conducted by three law school professors found that asylum seekers in the US face broad disparities in the nation's immigration courts. The professors discovered that 54% of refugees who ask for asylum in the San Francisco immigration court win asylum, but only 12% are granted asylum in the Atlanta immigration court.

Assume that you are an attorney who files 20 refugee's application pettitions with the Atlanta immigration court and answer the following:

What are the changes that exactly five of your petitioners are granted asylum?

I am struggling with what my n is. I set up as follows:

n=20

x=1,2,3,4,5,...20

p=12

q=88

or is n = 5

Answer 1

n is the variable assigned to the sample size that you are working with. In this case, because your sample is 20 refugees, you are correct in stating that n = 20. x is your sample mean so your x should be 5, not 1-20.