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Math Help - PMF

  1. #1
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    Question Probability Mass Function

    At Fred's Automotive works the arrivals of customes at the Desk is timed.Let X= the number of minutes between successive disgruntled customers. It's found that cumulative distribution function of X is:
    F(x)= 0 if x<1
    F(x)=0.3 if 1<=x<3
    F(x)=0.4 if 3<=x<4
    F(x)=0.45 if 4<=x<6
    F(x)=0.60 if 6<=x<12
    F(x)=1 if 12<=x

    What is the pmf of X?
    Many thanks to everyone who try to help.
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  2. #2
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    Quote Originally Posted by helpmeplease0 View Post
    At Fred's Automotive works the arrivals of customes at the Desk is timed.Let X= the number of minutes between successive disgruntled customers. It's found that cumulative distribution function of X is:
    F(x)= 0 if x<1
    F(x)=0.3 if 1<=x<3
    F(x)=0.4 if 3<=x<4
    F(x)=0.45 if 4<=x<6
    F(x)=0.60 if 6<=x<12
    F(x)=1 if 12<=x

    What is the pmf of X?
    Many thanks to everyone who try to help.
    I suggest you start by reviewing the relationship between the cdf and pmf of a discrete random variable (I say discrete since your use of the acronym pmf implies this).

    Then post what you can do and say where you get stuck.
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