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Math Help - stopwatch_normal_help

  1. #1
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    Wink stopwatch_normal_help

    a manually operated stopwatch is used to clock times in a 100 m track race. if the true time of a runner is t, the watch will show time t+0.1+X, where X has a normal distribution with expected value 0 and variance 0.01.
    (a) for a given t, what is the distribution of T?
    (b) if the true time t is 15 seconds, what is P(T<=11.5)?
    (c) what is the probability that T is within 0.05 seconds of the true time t?
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  2. #2
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    Quote Originally Posted by anzej View Post
    a manually operated stopwatch is used to clock times in a 100 m track race. if the true time of a runner is t, the watch will show time t+0.1+X, where X has a normal distribution with expected value 0 and variance 0.01.
    (a) for a given t, what is the distribution of T?
    (b) if the true time t is 15 seconds, what is P(T<=11.5)?
    (c) what is the probability that T is within 0.05 seconds of the true time t?
    (a) Use property 1 from here: Normal distribution - Wikipedia, the free encyclopedia

    Knowing the distribution of T, you should now ba able to do (b) and (c).
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  3. #3
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    Thumbs up

    Appreciate your help mr fantastic.

    Thanks a lot
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