The random variable X has the probability function shown in Figure 1. (a) Determine if the random variable X is a discrete, continuous or mixed random variable. Justify your answer. (b) Deduce the value for k without using calculus. (c) Compute (i) P (X < 1); (ii) P (X < 0|X < 1); (iii) P(X<0X<1); (iv) P (X < 0 X < 1). Include working out, explanation and r script