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4. A survey of workers found that 4% work overtime. Select 92 workers at E random and ask if they work overtime. The binomial
4. A survey of workers found that 4% work overtime. Select 92 workers at E random and ask if they work overtime. The binomial random variable X measures the number of positive answers. a) Can you approximate this binomial distribution by a normal?; b) What is the probability that at most two workers in the sample work more than 68 hours?; c) What is the probability that at least three work more than 68 hours? (Use normal if the answer to (a) is yes, use binomial otherwise.) 4
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