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3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the probability mass function is non-zero.

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