Question 1-Discrete Probability Distributions

A telephone receptionist takes an average of six calls per hour. Calculate the probability that the receptionist takes:

1. exactly five calls in the next 45 minutes.
2. two or more calls in the next 30 minutes.

Question 2- Descriptive Statistics & Basic Probability Theory

A disease has a 6% prevalence in the population. You need to choose between two tests.

If the disease is present, thefirst test will give a positive result with probability 0.90. If the disease is not present, it will give a positive result with probability 0.07. If the disease is present, thesecond test will give a positive result with probability 0.96. If the disease is not present, it will give a positive result with probability 0.10.

1. For each of the tests, what is the probability that someone has the disease given a positive test result?

1. The disease is highly contagious, and so those with the disease need to be quarantined. Which testwould you recommend? Explain your reasoning.