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Math Help - probability mass function

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    Post probability mass function

    Suppose a random variable X has a cumulative distribution function given by
    F(a) = {0 for a<0, 1/2 for 0<=a<1, 3/5 for 1<=a<2, 4/5 for 2<=a<3,
    9/10 for 3<=a<3.5, 1 for 3.5<=a.
    a. Find the probability mass function for X.
    b. Find the probability that a given observation of the value of X is greater than or equal to 1.5.
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    Quote Originally Posted by Sally_Math View Post
    Suppose a random variable X has a cumulative distribution function given by
    F(a) = {0 for a<0, 1/2 for 0<=a<1, 3/5 for 1<=a<2, 4/5 for 2<=a<3,
    9/10 for 3<=a<3.5, 1 for 3.5<=a.
    a. Find the probability mass function for X.
    b. Find the probability that a given observation of the value of X is greater than or equal to 1.5.
    (a) Since X appears continuous rather than discrete, the term would be probability density function ..... Use f(a) = dF/da.

    (b) \Pr(X \geq 1.5) = 1 - \Pr(X <1.5) = 1 - F(1.5)
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