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In: Statistics and Probability

Suppose that, next month, the quality control division will inspect 80 units. Among these, 56 will...

Suppose that, next month, the quality control division will inspect 80 units. Among these, 56 will undergo a speed test and 24 will be tested for current flow. If an engineer is randomly assigned 3 units, what are the probabilities that:

a) none of them will need a speed test?

b) only 2 will need a speed test?

c) at least 2 will need a speed test? Evaluate these solutions using the hypergeometric distribution and compare the result using the binomial distribution as an approximation.

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