MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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When Sandy made landfall in October of 2012, it became the second most costly hurricane in the US. As of March 2014, the estimated cost was over $68 billion. Much of the damage was caused by flooding. The rainfall in areas affected by Sandy follow a Normal distribution. The average rainfall during the storm was 7.3 inches with a standard deviation of 2.44 inches (www.accuweather.com). Areas in Maryland and New Jersey saw more rain than the other affected regions.

  1. (a)  What is the probability that a randomly selected region had less than 5 inches of rain?

  2. (b)  What is the probability that a randomly selected region had between 10 and 12 inches of rain?

  3. (c)  What is the probability that a randomly selected region had more than 20 inches of rain?

  4. (d)  Find the 50th percentile of rainfall amounts. (HINT: NO WORK REQUIRED)

  5. (e)  Find the 75th percentile (Q3) of rainfall amounts.

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