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Math Help - cumulative distribution

  1. #1
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    cumulative distribution

    Question attached as an image. It is # 6. Any help would be awesome, thanks
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  2. #2
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    Could you please post an attempt? I don't mean to be rude but you are just posting a load of questions, for which it seems you shown no effort to do.

    Here if a tip to get you started \mathbb{P}(f(X)\leq a)=\mathbb{P}(X\leq f^{-1}(a)).
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  3. #3
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    Thank you for the tip, but I am still a little confused. Could I have another hint maybe?
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  4. #4
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    Quote Originally Posted by babbagandu View Post
    Thank you for the tip, but I am still a little confused. Could I have another hint maybe?
    Use this;

    Quote Originally Posted by Focus View Post
    \mathbb{P}(f(X)\leq a)=\mathbb{P}(X\leq f^{-1}(a)).
    in conjunction with the fact that  e^{\log X}=X. When you have, you know what distribution X has, so you can explicitly write out the value.

    If you want the hint more explicitly:  \log X \leq a take exponential of both sides.
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