For each month, the daily rainfall (in mm) recorded at the Goztepe rainfall stat

ID: 3150996 • Letter: F

Question

For each month, the daily rainfall (in mm) recorded at the Goztepe rainfall station in the Asian part of

Istanbul from 1961 to 1990 was modeled well using a gamma distribution (Aksoy 2000). However,

the parameters differed quite markedly from month to month. For June, = 0.5 and = 7.

a) The mean and standard deviation of rainfall during a randomly selected June day at this station.

b) An interval that will include the daily rainfall for a randomly selected June day with a probability

of at least 0.75

a) The mean and standard deviation of rainfall during a randomly selected June day at this station.

mean = 0.5 *7 = 3.5

SD = srqt ( 0.5*0.5*7 ) = 1.32

P( x > x ) = 0.75

Z = -0.67

-0.67 = x - 3.5 / 1.32

x = 2.61

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