CE93  Engineering Data Analysis
Lab 4 (Feb 9, 2011)
Data Preparation
1.
Download the file containing data for seasonal rainfall data in San Francisco from 196061 to 2002
2003 from bSpace. (
Filename: ‘SFrainfall.dat’
). Load the data into MATLAB. The data contains the
number of rainy days in season (column 1) and cumulative rainfall in inches (column 2).
2.
Generate variables:

‘days’ for number of rainy days in season
(d)

‘rain’ for cumulative
rainfall (inches)
Problems
1. Let
E
1
= the number of rainy days in SF in a given season is > 65 days
E
2
= amount of cumulative rainfall in SF in a given season is > 22in
We know that if E
1
or E
2
happens, i.e.
P(E
1
E
2
)
, we have had a rainy season in SF.
Write a MATLAB routine to compute the following probabilities by use of the data. For each prob
ability, write out in words what it means.
P(E
1
)
P(E
2
)
P(E1
E2)
P(E
1
E
2
)
P(E
1
E
2
)
P(E
2
E
1
)
Are
E
1
and
E
2
(approximately) statistically independent? Mutually exclusive?
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 Spring '08
 Staff
 Conditional Probability, Probability, Probability theory, cumulative rainfall

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