We have five boxes: two boxes contain two white marbles and one black marble each, one box contains ten black marbles, two boxes contain three white marbles and one black marble each. We draw a box and then randomly remove a marble from it. What is the probability that it will be a white marble? 2. The random variable X is subject to distribution according to the density function given by the formula: f(x) r - (a) Determine the cumulative distribution function of the random variable X, (b) Calculate the expected value and standard deviation of the random variable X. Hint! I(n) I(n + 1) = = I(n) = = e-, x>0 0, x < 0 n!! = t-le- dt nl (n) (n-1)!, neZ+ (2n-1)!!, nezZ+ 2N {n(n 1 n(n 2)!! - n = 0 or n = 1 N> 2 The random variable X is subject to the distribution according to the density function give ormula: cx x (0; 4) 0 I (0:4) f(x) = ={ a) Determine the value of the parameter c; ) Calculate the median and mode of random variable X;