2. Forty-nine balls are numbered 1 - 49. You are to select six numbers between 1 and 49 (These are the ones you write on your lotto card). The lottery number pickers will choose 6 of the balls form the tumbler on Sunday. In this lottery, the balls are selected without replacement. (a) (1 pt) Which distribution is being described in this problem? Explain your decision. (b) (1 pt) Find the probability that you match exactly 4 numbers, (c) (1 pt) Find the probability that you match at least one number correctly (d) (2 pts) Calculate the expected value and variance for the number of matches