+12 13.The probability distribution of X, the number of imperfections per 10 meters of a
synthetic fabric in continuous rolls of uniform width, is given by
x 0 1 2 3 4
p(x ) 0.41 0.37 0.16 c 0.01
a. Find the value of constant c so that p(x) is a probability mass function.
b. Plot the probability mass function of the random variable X.
c. Construct the cumulative distribution function of X.
d. Plot the cumulative distribution function of the random variable X.
