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Math Help - Uniform distribution

  1. #1
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    Uniform distribution

    A flight arrives at a random time, uniformly distributed between 6:00 pm and 6:30 pm. Find the probability that the flight arrives
    (a) before 6:10
    (b) between 6:15 and 6:25
    (c) after 6:20
    (d) before 6:20
    (e) between 6:05 and 6:25
    (f) after 6:10
    Last edited by mr fantastic; February 23rd 2010 at 10:36 PM. Reason: Changed post title
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  2. #2
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    Quote Originally Posted by aaronrj View Post
    A flight arrives at a random time, uniformly distributed between 6:00 pm and 6:30 pm. Find the probability that the flight arrives
    (a) before 6:10
    (b) between 6:15 and 6:25
    (c) after 6:20
    (d) before 6:20
    (e) between 6:05 and 6:25
    (f) after 6:10
    Let X be the random variable "number of minutes after 6:00 at which flight arrives". Then the pdf of X is f(x) = 1/30 for 0 \leq x \leq 30 and zero otherwise. Use this pdf to calculate the answers.
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