In a certain type of lottery game, a lottery ticket shows three numbers randomly selected without replacement from 0 to 9. The lottery operator selects three numbers randomly without replacement from 0 to 9. A lottery ticket is a \"winner\" if all three of the numbers on the ticket match the numbers selected by the lottery operator (note that the numbers do not have to be in the same order as the ones selected by the operator. they just have to be the same three numbers: e.g., if the ticket reads \"1 0 5" and the operator's numbers are \"5 0 l." the ticket is still considered a winner). Suppose that you have 15 of these lottery tickets. Let W be the number of your 15 tickets that are \"winners." (a) [1 point] What type of distribution can we use to model the behavior of the random variable 'W? Please state the name of the distribution and all associated parameters and your reasoning for selecting that distribution (one or two sentences is ne). (b) [1 point] What is the probability that you have at least one winning ticket? (c) [1 point] Suppose you know that you have fewer than ve winning tickets. What is the probability that you have no winning tickets