Question: If the distribution function of a random variable is given by [F(x)= begin{cases}1-frac{4}{x^{2}} & text { for } x>2 0 & text { for

If the distribution function of a random variable is given by

\[F(x)= \begin{cases}1-\frac{4}{x^{2}} & \text { for } x>2 \\ 0 & \text { for } x \leq 2\end{cases}\]

find the probabilities that this random variable will take on a value

(a) less than 3;

(b) between 4 and 5 .

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