Suppose we have two dice, one of which is standard (has faces with the numbers 1, 2, . . . , 6) and another which is special (has the number 0 written on three of the faces and 6 written on the other three). Now suppose we throw the two dice and let X denote the random variable that is the sum of the values on the observed faces.(a) What is the range of X? (give exact upper and lower bounds along with a line of explanation)(b) What is the probability mass function of X?(c) What is the cumulative density function of X?