1. The probability that a chef will change job is 15%. Suppose that a restaurant chain has 137 locations, and each location has 5 chefs. What is the probability that a location loses at most 1 chef?
2. The owner of the restaurant chain in Question 1. will send an audit team to a location if the location loses at least 2 chefs. What is the probability that the owner is making a type-1 error?
3. Suppose that when there is an issue with a particular location, the probability that a chef will change job is 50%. Given the policy of the owner in Question 2., what is the probability that the owner is making a type-2 error?
4. What is the assumption you need to make to answer Question 1?