Distribution function

kuba99

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I will be pleased if someone will show me solution for these two exr ✋
 

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We will be pleased if you show us what attempt you have made to solve this.

Base on this and your other posts it's apparent you regard this site as a place to have your homework done for you it. It isn't.
 
In the question what does \(\displaystyle \text{gdy}\) mean? Please remember that we are an English language site.
 
@Romsek sorry Sir, it isn't like that, I tried to do these tasks, but I have absolutely no idea how (I will add my tries, but they are completly stupid), it's not a homework it's just a exam preparation job, I thought that on the solved example I will understand how to use patterns (it always helps me with understanding math), honestly from propability I understand only examples with fair dice...
@pka sorry, my bad "gdy" means "if"
 

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@Romsek sorry Sir, it isn't like that, I tried to do these tasks, but I have absolutely no idea how (I will add my tries, but they are completly stupid), it's not a homework it's just a exam preparation job, I thought that on the solved example I will understand how to use patterns (it always helps me with understanding math), honestly from propability I understand only examples with fair dice...
@pka sorry, my bad "gdy" means "if"
The CDF is \(\displaystyle F(x)=\begin{cases}0 &: x<0 \\ \tfrac{1}{4}x^2 & :0\le x <2\\1 &:2\le x\end{cases}\)

Using the CDF
17) \(\displaystyle \mathcal{P}(X\le 1)=F(1)=\tfrac{1}{4}(1)^2\)

18) \(\displaystyle \mathcal{P}\left(\frac{1}{2}< X\le 1\right)=F(1)-F\left(\tfrac{1}{2}\right)=?\)
 
Thank you soooo freaking much! @pka
 

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