Assignment:
According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles. Suppose that you find a key for one of those cars.
a) What is the expected number of vehicles that you would have to check to find one that fits your key?
b) What is the probability that you would have to check at least 3,000 vehicles to find one that your key fit?
c) Justify your selection of the probability distribution you choose to model this situation.
Provide complete and step by step solution for the question and show calculations and use formulas.