1. (50 pts) There is a 5-digit binary number. Random varinble X is defined as the member of O's in the binney number (a) Draw the probability mass function (PMF) for X. (12 pts) (b) Draw the cumintive distribution function (CDF) for X. (13 pts) (c) Using the munbers found in yotar PMF in (a), find the probability that the 5-digit binary number has at least three O's. (12 pts) (d) Using the numbers found in your CDF in (b), find the probability that the 5-digit binary number has at least three 0's. (13 pts)