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Math Help - Cumulative Distribution Function

  1. #1
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    Cumulative Distribution Function

    Cumulative Distribution Function
    Here is the function

    F(t) = {

    0, t<1,
    1/4, 1=<t<3,
    1/2, 3=<t<5,
    3/4, 5=<t<7,
    1, t=>7,

    I have to find
    a. P(T=5)
    b. P(T>3)
    c. P(1.4<T<6)

    So for a. would that be 1/4?
    b. 1/2
    c. I'm not sure.

    Thanks
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  2. #2
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    Quote Originally Posted by meks08999 View Post
    Cumulative Distribution Function
    Here is the function

    F(t) = {

    0, t<1,
    1/4, 1=<t<3,
    1/2, 3=<t<5,
    3/4, 5=<t<7,
    1, t=>7,

    I have to find
    a. P(T=5)
    b. P(T>3)
    c. P(1.4<T<6)

    So for a. would that be 1/4?
    b. 1/2
    c. I'm not sure.

    Thanks
    It appears that you have the cdf of a discrete random variable. I suggest you reflect on that fact, together with the definition of a cdf. The answer to (c) is Pr(T = 3) + Pr(T = 5) = ....
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