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Math Help - Statistics and probability

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    Statistics and probability

    A continuous random variable X that can assume values between x=2 and x=4 has a density function given by
    f(x)=x+1/8
    Show that P (2<x<4) =1
    Find P(X<3.5)
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  2. #2
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    Quote Originally Posted by MS BATOOL View Post
    A continuous random variable X that can assume values between x=2 and x=4 has a density function given by
    f(x)=x+1/8
    Show that P (2<x<4) =1
    Find P(X<3.5)
    Integrate f(x) from 2 to 4 and you get an answer of 6.25, not 1. Therefore, it is not a correct pdf. However, if you meant f(x)=\frac{x+1}{8}, it does satisfy having an integral of one. To find the probability that x is less than 3.5, integrate the pdf from 2 to 3.5.
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