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Math Help - exp distribution homework??

  1. #1
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    exp distribution homework??

    Here is one of the problems I have, I got part a) already but Im confused about the rest, especially d) and e).

    Problem:

    1. Partial duration flows (flows greater than some arbitrary base value) have been treated as random variables with a shifted exponential distribution. From 23 years of records during which 56 flow in excess of 5,500 cfs, were observed in a region. The following distribution was found adequate:

    a) Sketch and compute the probability that a flow exceeding 20,000 cfs will be observed, given that the flow exceeds the base value of 5,500. (My answer: 0.1074)

    b) What is the probability of at least one flow exceeding 5,500 in one year?

    c) Exactly two exceeding 5,500 in one year?

    d) Return period of a 20,000 flow?

    e) What is the size of the 100 yr flood?
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  2. #2
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    Quote Originally Posted by enmascarado View Post
    Here is one of the problems I have, I got part a) already but Im confused about the rest, especially d) and e).

    Problem:

    1. Partial duration flows (flows greater than some arbitrary base value) have been treated as random variables with a shifted exponential distribution. From 23 years of records during which 56 flow in excess of 5,500 cfs, were observed in a region. The following distribution was found adequate:

    a) Sketch and compute the probability that a flow exceeding 20,000 cfs will be observed, given that the flow exceeds the base value of 5,500. (My answer: 0.1074)

    b) What is the probability of at least one flow exceeding 5,500 in one year?

    c) Exactly two exceeding 5,500 in one year?

    d) Return period of a 20,000 flow?

    e) What is the size of the 100 yr flood?
    Missing graphic with essential information.

    RonL
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  3. #3
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    that's what I have in the problem, no graph or any more information,
    I know the function is a pdf since it integrates to 1 and all x's are positive for the range
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