[E11] Let \( X \) be a continuous random variable whose density function is
\[
f(x)=\frac{1}{2 \sqrt{x}}
\]
and cumulative density function is
\[
F(x)=\sqrt{x}
\]
a) Calculate the following probabilities
i) \( P(X \leq 0,2) \)
ii) \( P(X \geq 0,6) \)
iii) \( P(0,4 \leq X \leq 0,8) \)
b) Draw the density function and visualize the respective areas corresponding probabilities of a)
c) Draw the cumulative density function and visualize the respective areas corresponding probabilities of a)
