Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X. (a) f(x)equals=c(x Superscript 2plus+77), for xequals=0, 1, 2, 3 (b) f(x)equals=cleft parenthesis Start 2 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column x EndMatrix right parenthesis 3 x left parenthesis Start 2 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column 2 minus x EndMatrix right parenthesis 2 2−x , for xequals=0, 1, 2