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Homework Help: Is it distribution function ?

  1. Oct 31, 2005 #1
    Could someone help me. I don't able to explain if is FG is a distribution fuction:
    Show that if F and G are distribution functions and [itex] 0 \leq \lambda \leq 1[/itex] then [itex]\lambda.F + (1 - \lambda).G [/itex] is a distribution function. Is the product F.G a distribution function?
    Last edited: Oct 31, 2005
  2. jcsd
  3. Oct 31, 2005 #2


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    In order see if a function is a distribution function, go back to the definition.

    F(x) is a d.f. if F-> 1 as x -> inf, F-> 0 as x-> -inf. F(y)>=F(x) for y>x.

    It should be easy for you to verify that in both examples you have a distribution function.
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