Myron Mailbag, the postmaster of Metro city, suspects that letter carriers are engaging in a work slowdown to influence on-going labor negotiations. If a slowdown is going on, then there would be an increase in overtime; that is, more letter carriers will not finish their routes in 8 hours. Historically, at this time of year, the probability of a route needing overtime is .2. A sample of 80 letter carriers today reveals that 40 requested overtime. What is the probability that this would occur by random chance?
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