Q43Numerical2 Marks5 Jun 2022Let XXX be a discrete random variable with PMF pX(1)=ap_X(1)=apX(1)=a, pX(2)=bp_X(2)=bpX(2)=b, pX(3)=cp_X(3)=cpX(3)=c, pX(4)=0.3p_X(4)=0.3pX(4)=0.3, and 000 otherwise. Its CDF is FX(x)=0F_X(x)=0FX(x)=0 for x<1x<1x<1, 0.20.20.2 for 1≤x<21\le x<21≤x<2, 0.60.60.6 for 2≤x<32\le x<32≤x<3, 0.70.70.7 for 3≤x<43\le x<43≤x<4, and ddd for x≥4x\ge4x≥4. Evaluate a+b+c+da+b+c+da+b+c+d.Your answerPress Enter to check.