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(Solved): 4) Please, I really ask for help! ASAP ASAP Please! I will definitely give a thumbs up the random va ...



4) Please, I really ask for help! ASAP ASAP Please! I will definitely give a thumbs up

the random variable is given by the distribution function.
1) find out which probability is greater P(X<3) or P(X>3)
2) find the density function of the random variable X
3) find the density function of the random variable W=sqrt(X+2).

\( F(x)=\left\{\begin{array}{c}0, \quad \text { ja } x<1 \\ \frac{16}{15}\left(1-\frac{1}{x^{2}}\right), \quad \text { ja } 1

 

\( F(x)=\left\{\begin{array}{c}0, \quad \text { ja } x<1 \\ \frac{16}{15}\left(1-\frac{1}{x^{2}}\right), \quad \text { ja } 1 \leq x \leq 4 \\ 1, \quad \text { ja } x>4\end{array}\right. \)


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1) we know that F(x)=P(X?x)=P(X3)=1?P(X<3)=1?0.9481=0.0519
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