It was reported that the mean high temperature in the continental United States on October 5, 2011 was 75.77°F, with a standard deviation of 10.95°F
What is the probability that a city chosen at random will report a temperature between 70°F and 80°F?
? = 75.55, ? = 10.95. The probability that the temperature will lie between 70°F and 80°F needs to be calculated. Using Excel: "=NORM.DIST(80,75.77,10.95,TRUE)-NORM.DIST(70,75.77,10.95,TRUE)" = 0.35125. There is a 35.13% chance that a city chosen at random in the continental U.S. will report a temperature between 70°F and 80°F.
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