Unformatted text preview: Â³ Â¸ 50 Â¹ Âºâ„ŽÂ»Â¼ 0 â‰¤ Â³ â‰¤ 50 Â½Â¾â„ŽÂ»Â³ÂºÂ¿Ã€Â» a. Determine the constant Â¶ and draw the PDF. b. The runoff is carried by a pipe with a capacity of 30 ft 3 /s. Overflow will occur when the runoff exceeds the pipe capacity. If overflow occurs after a storm, what is the probability that the runoff in this storm is less than 40 ft 3 /s? c. An engineer considers replacing the current pipe by a larger pipe having a capacity of 40 ft 3 /s. Suppose there is a 70% probability that the replacement would be completed prior to the next storm. What is the probability of overflow in the next storm? 3. Problem 4.4 in Ross. 4. Problem 4.44 in Ross. 5. Problem 4.25 in Ross....
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 Fall '10
 hansen
 Probability theory, TA, probability density function, Probability mass function, probability mass functions

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