1. A random variable X has a continuous distribution with the following probability.r densityr function: fix} = {ksfs'} for I) in 5 3 I] other-Wise. (a) Find the value of the constant k. [h] Determine the expected value of X. i.e. ELI}. {c} Determine the variance of X, i.e. Var{X}. [d] Determine the cumulative distribution function {ode 1512} {e} Show that the median. m, is such that 1.34 a: m a: 1.35