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On a Random Day, of the Dogs That Are Dropped

Question 9

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On a random day, of the dogs that are dropped off at a kennel, 45% are male, and of the male dogs, 33% are working breeds. Let X be the number of the first 8 dogs arriving at the kennel on a certain day and are male and a working breed. Find the probability mass function of X, its expected value and its variance.

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