# Math Help - cumulative distribution

1. ## cumulative distribution

Question attached as an image. It is # 6. Any help would be awesome, thanks

2. 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 $\mathbb{P}(f(X)\leq a)=\mathbb{P}(X\leq f^{-1}(a))$.

3. Thank you for the tip, but I am still a little confused. Could I have another hint maybe?

4. Originally Posted by babbagandu
Thank you for the tip, but I am still a little confused. Could I have another hint maybe?
Use this;

Originally Posted by Focus
$\mathbb{P}(f(X)\leq a)=\mathbb{P}(X\leq f^{-1}(a))$.
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.