The State Department is trying to identify an individual who speaks Farsi to fill a foreign embassy position. They have determined that 7% of the applicant pool are fluent in Farsi. How many interviews should the State Department expect to conduct before finding the first Farsi speaker?

What is the probability that they will find the first Farsi speaking applicant on the 20th interview?

What is the probability that they will find the first Farsi speaking individual within the first 20 applicants?

What is the probability that they will need to interview more than 38 applicants before finding one who speaks Farsi?