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Problem 8. A parking lot contains 100 cars that all look quite nice from the outside. However, k of these cars happen to be lemons. The integer k is known to lie in the range 0,1,2, with all values equally likely. (a) We testdrive 20 cars chosen at random without replacement, and to our pleasant surprise, none of them turn out to be a lemon. Given this knowledge, what is the probability that k0 (b) Repeat part (a) when the 20 cars are chosen with replacement

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