[Problem 2] A coin collector has found 20 rare coins at a local shop.The coins are similar, except that five of them are very good counterfeits. The collector purchases four coins. What is the probability that the collector purchased more than one of the counterfeit coins?

[a] What is the name of the distribution that models this scenario best?

[b] What are the values for the parameters of the distribution?

[c] Use the JMP Distribution and Probability Calculator to find the solution.

Paste screenshot of JMP Distribution and Probability Calculator with inputs and graph here.

[d] What is the probability that the collector purchased at least two of the counterfeit coins?