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Unformatted text preview: Problem 4. (5 points) A mail sorting machine rejects on average 1% of envelopes as being overweight. Using as model the Poisson distribution, estimate the probability that no more than two envelopes will be rejected in a day’s run of 500 envelopes. 1 Problem 5 (5 points) The Professor likes to keep statistics on the states of the 5 traﬃc lights he encounters on his drive to work. The results over the last 100 days were: Red: 250; Green: 220; Yellow: 30. Estimate the probability that the Professor will not encounter at least one of the three colors on tomorrow’s drive to work. Hint: Use the inclusion exclusion formula to ﬁnd P ( { No Red } ∪ { No Green } ∪ { No Yellow } ) . 2...
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 Spring '08
 Staff
 Normal Distribution, Probability theory, 1%, probability density function, 0.1 inches, 0.25 inches

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