In: Statistics and Probability
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.