Let X denote the number of hours you study during a randomly selected school day. The probability distribution function is
P(X = x)= \(\begin{cases} 0.1\quad if\quad x=0 \\ kx\quad if\quad x=1or2 \\ k(5-x)\quad if\quad x=3or4 \\ 0,\quad otherwise \end{cases}\)
Find the vatue of k and what is the probability that you study atleast 2 hours.
