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A machine produces single cell batteries in batches of 27. Suppose that in the specific batch, 20 of the batteries are functional (the rest are

A machine produces single cell batteries in batches of 27. Suppose that in the specific batch, 20 of the batteries are functional (the rest are not). a quality control worker randomly selects 24 of the 27 batteries from the specific batch.

a) What is the probability that exactly 18 of the functional batteries gets elected by the inspector?

b) what is the probability that at least 19 of the functional batteries get selected by the inspector?

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