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Unformatted text preview: Î» =70 storms/year. The rainfall intensity I of each storm has CDF P [ I â‰¤ i ] = F I ( i ) = 1-e -0.067 i , i â‰¥ 0 where i is in mm/hour. Assuming independence among the storm intensities, find the probability that the yearly maximum rainfall intensity exceeds 100mm/hour. [Read application example 11.] 3. U 1 and U 2 are independent random variables with uniform distribution in [0,1]. Find the CDF of Y = U 1 + U 2 . Then differentiate F Y (y) to find the PDF, f Y (y). [Hint: To find F Y (y) , sketch the region " y on the ( U 1 , U 2 ) plane where Y " y .]...
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- Spring '05
- Probability theory, CDF, Poisson point process, rainfall intensity, maximum rainfall intensity, certain location storms