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Unformatted text preview: light normal heavy 0.25 0.40 0.15 1/30 1/35 1/55 bad bad bad light normal heavy 0.03 0.07 0.10 1/35 1/42 1/70 ∑ = 1.00 Find the probability density function of D , f D ( d ), using a relation analogous to Eq. 2 of Application Example 7. Plot this density function. Is it an exponential density? Calculate the unconditional probability that D >40 minutes? 3. The joint probability mass function of precipitation depth X (mm) at a raingauge station and flow Y (m 3 /s) of a nearby river is as follows: X =25 X =50 X =75 Y =2 0.05 0.12 0 Y =4 0.11 0.30 0.10 Y =6 0 0.12 0.20 a) Find the marginal PMFs of X and Y . b) If the raingauge indicates a precipitation of 50mm, what is the probability that the flow exceeds 4 m 3 /s?...
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 Spring '05
 GeorgeKocur
 Normal Distribution, Variance, Probability theory, probability density function, Cumulative distribution function

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