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In: Statistics and Probability

Alex makes mistakes in class according to Poisson process with an average rate of 1.4 mistakes...

Alex makes mistakes in class according to Poisson process with an average rate of 1.4 mistakes per class.

a. What is the probability that Alex makes at least 3 mistakes during one class? Round your answer to 4 significant figures.

b. What is the probability that Alex makes exactly 12 mistakes during two weeks of classes (that is, during 6 classes, since Alex teaches a MWF lecture)? Round your answer to 4 significant figures.

c. What is the probability that Alex has exactly 2 mistake-free classes in two weeks (that is, during 6 classes)? Round your answer to 4 significant figures.

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