for each of the following determine the constant c so that f

for each of the following, determine the constant c so that f(x) satisifies the conditioins of being a pmf(probability mas function) for a random variable X, and then depict each pmf as a ling graph.

a) f(x) = x/c x=1,2,3,4

b) f(x) = cx, x=1,2,3,...,10

c) f(x) = c(1/4)^x, x=1,2,3,....

d) f(x) = c(x+1)^2, x = 0,1,2,3

e) f(x) = x/c, x = 1,2,3,...,n

f) f(x) = c/((x+1)(x+2)) x = 0,1,2,3....

hint: in part (f), write f(x) = 1/(x+1) - 1/(x+2)

Solution