This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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?...
View
Full
Document
This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.
 Spring '05
 GeorgeKocur

Click to edit the document details