. Let X be a discrete random variable with sample space S = {1, 2, 3, 4, 5, 6}.

(a) Come up with a probability mass function (pmf) f(x) for X of your choosing and write the function in table format.

(b) Draw a probability histogram of the pmf of X.

(c) Write out the cumulative distribution function (cdf) of X (write it out in table form).

(d) Compute the expected value of X.

(e) Compute the variance of X.

The image i have posted is my attempt at the problem