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Here are some suggested extra practice problems for the final two topics, the Binomial
Distribution, and the Poisson Distribution.
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Text: 5.30, 5.32, 5.34, 5.36, 5.42, 5.46, 5.60.
Two more on following page.
Text has answers.
You are buying a dozen eggs at the supermarket.
You randomly select cartons from the shelf.
Before putting the 12egg carton in your basket,
you check each carton.
If a single egg is
cracked, you put the carton back and try a brand new one.
You know that, overall, 7% of the
eggs are cracked.
Assume that the probability of one egg being cracked is independent of
whether any of the other eggs in the carton are cracked
.
(Hint: Which model of a discrete RV is
appropriate here?)
Because the probability of an egg being broken is independent of whether any other eggs
are broken, we can apply the binomial distribution, with p=.07, and the number of
experiments equal to 12 (the number of eggs in a carton that are tested when we open it).
a.) How likely is it that you will accept a single randomly chosen carton? (What probability are
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 '10
 HAULLGREN

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