ch05 - YorkU Math and Statshkj/Teaching/1131/Coverage/ch05.pdf · ch05.pdf Author: Hanna Jankowski...
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10/19/10 1 Copyright ©2011 Nelson Education Limited Copyright ©2011 Nelson Education Limited x p(x) 0 1/8 1 3/8 2 3/8 3 1/8 Copyright ©2011 Nelson Education Limited • You play the lottery every week for 10 weeks. Let X denote the number of times you win the lottery. • Select five people from a class of size 21 and suppose that 70% of the class has the gene for tasting phenylthiocarbomide (PTC). Let X denote the number who taste PTC. • Select five people from the Canada population, and suppose that 70% of the population has the gene for tasting PTC. Let X denote the number who taste PTC. Copyright ©2011 Nelson Education Limited
Transcript of ch05 - YorkU Math and Statshkj/Teaching/1131/Coverage/ch05.pdf · ch05.pdf Author: Hanna Jankowski...
10/19/10
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Copyright ©2011 Nelson Education Limited Copyright ©2011 Nelson Education Limited
x p(x) 0 1/8 1 3/8 2 3/8 3 1/8
Copyright ©2011 Nelson Education Limited
• You play the lottery every week for 10 weeks. Let X denote the number of times you win the lottery.
• Select five people from a class of size 21 and suppose that 70% of the class has the gene for tasting phenylthiocarbomide (PTC). Let X denote the number who taste PTC.
• Select five people from the Canada population, and suppose that 70% of the population has the gene for tasting PTC. Let X denote the number who taste PTC.
Copyright ©2011 Nelson Education Limited
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Find the table for the correct value of n.
Find the column for the correct value of p.
The row marked “k” gives the cumulative probability, P(X ≤ k) = P(X = 0) +…+ P(X = k)
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Copyright ©2011 Nelson Education Limited
• The Poisson random variable X is a model for data that represent the number of occurrences of a specified event in a given unit of time or space.
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For values of k = 0, 1, 2, … The mean and standard deviation of the Poisson random variable are
Mean: µ
Standard deviation:
€
P(X = k) =µke−µ
k!
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P(X =1) =µke−µ
k!
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Find the column for the correct value of m.
The row marked “k” gives the cumulative probability, P(X ≤ k) = P(X = 0) +…+ P(X = k)
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The average number of traffic accidents on a certain section of highway is two per week.
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• The increased number of small commuter planes in major airports has heightened concern over air safety. An eastern airport has recorded a monthly average of five near-misses on landings and take-offs in the past five years. Find the probability that during a given month there are no near-misses on landings and take-offs at the airport.
• Of all the Harry Potter books purchased, about 60% were purchased for readers 14 or older. If 12 Harry Potter fans are surveyed, find the probability that at least five of them are 14 or older.
