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    Stattrek's Avatar
    Stattrek Posts: 2, Reputation: 1
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    #1

    Nov 27, 2012, 07:26 PM
    May be Central Limit Theorem?
    The National Hurricane Center has kept records on hurricanes for many years. It can be shown that the distribution for the maximum sustained wind speed of hurricanes has a mean wind speed of 110 mph and a standard deviation of 20 mph. If nothing is known about the shape of the distribution, what can you say about the probability that a hurricane has maximum sustained winds greater than 130 mph? Explain your answer in detail.
    ebaines's Avatar
    ebaines Posts: 12,130, Reputation: 1307
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    #2

    Nov 28, 2012, 09:39 AM
    Yes, the central limit theorem provides justification for assuming a normal distribution for hurricane wind speeds. From that you can ascertain the probability of wind speeds being above the mean by 1 sigma or greater.

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