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In the 2008 Wimbledon tennis tournament, Rafael Nadal averaged 115 Miles per hour (mph) on his first serves. Assume that the distribution of his first serve speeds is Normal with a mean in 115 mph and a standard deviation of 6 mph.
(a) About what proportion of his first serves would you expect to exceed 120 mph?
(b) What percent of Rafael Nadal's first serves are between 100 and 110 mph?
(c) The fastest 20% of Nadal's first serves go at last what speed?
(d) What is the IQR for the distribution of Nadal's first serve speeds?
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