Question

A clinic tests patients for the novel Zombie virus. A patient is likely to be tested positive with probability 0.25. If each patient testing is independent, answer the questions below:

1.Say the clinic has 30 treatment packets that it gives out to positively tested patients. What is the probability that the clinic tests 100 patients until it exhausts all of its 30 treatment packets? Use an appropriate random variable family and provide a PMF.

2.The clinic tests on an average 10 patients every hour. What is the probability that exactly 5 patients are tested in the next hour? Use an appropriate random variable family and the provide a PMF.

Answer 1