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Unformatted text preview: are statistically independent, what is the probability that a passenger on Train A misses the connection with Train B?[Hint: Let T A and T B be the times when train A arrives and train B departs, respectively. Plot the joint range of ( T A , T B ) on the ( T A , T B )-plane and find the region that corresponds to missing the connection.] 3. Show that the function below is the PDF of R , the distance between the epicenter of an earthquake and the site of a dam, when the epicenter is equally likely to be at any location along a neighboring fault (see figure below). You may restrict your attention to a length of fault l that is within a distance r o of the site because earthquakes at greater distances will have negligible effect at the site. f R ( r ) = 2 r ( r 2-d 2 )-1/2 , d ≤ r ≤ r o l Sketch the function. Site r o r o d Fault A B l /2 l /2...
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- Spring '05
- Probability theory, probability density function, Cumulative distribution function