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A warehouse contains 20 boxes: 8 are full and 12 are empty. For quality control, 5 boxes are drawn randomly without replacement. (a) What is

A warehouse contains 20 boxes: 8 are full and 12 are empty. For quality control, 5 boxes are drawn randomly without replacement.

(a) What is the probability that exactly 2 full boxes are drawn?

(b) What is the probability that more than 3 full boxes are drawn?

Now consider that instead of the small warehouse, we are in a big warehouse with 240 boxes: 60 are full and 180 are empty. 50 boxes are drawn randomly without replacement. We would like to compute probability that more than 45 full boxes are drawn:

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