The following game is found at a carnival: a hat contains cards that are labeled from 1 to 15 (one card is labeled \"1,\" another card is labeled \"2." etc}. A player draws two cards without replacement from the hat. For every odd- numbered card drawn. the player earns two tickets. For every even-numbered card drawn. the player earns four tickets. (a) [2 points] Let X represent the number of tickets a player earns from playing this game once. Fill in the following probability distribution table for X. (b) [I point] How many tickets would a player expect to earn from playing this game once? (c) [I point] The tickets earned from this game can be exchanged for prices. A certain prize costs It) tickets. Suppose you and a friend each play this game once {assume your attempts are independent). If you and your friend pool your ticket earnings, would you expect to have enough tickets together to exchange for the prize? Explain whyi'why not (one or two sontences is ne; you can show any calculations tool)