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Looking for tall basketball playersA certain country with a large population wants to find very tall people to be on its Olympic basketball team and strike a blow against western imperialism. Out of a pool of 10^{8} people who are the right age and gender, how many are they likely to find who are over 225 cm (7 feet 4 inches) in height? Figure g gives a closeup of the "tail" of the distribution shown previously in figure f.
The shaded area under the curve represents the probability that a given person is tall enough. Each rectangle represents a probability of 0.2 × 10^{7} cm^{1} × 1 cm = 2 × 10^{9}. There are about 35 rectangles covered by the shaded area, so the probability of having a height greater than 225 cm is 7×10^{8} , or just under one in ten million. Using the rule for calculating averages, the average, or expected number of people this tall is (10^{8}) × (7 × 10^{8}) = 7.


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