A very janlcv version of Yu-G'f-Gh! allows a declc of 21] cards. Twelve of thae cards are trap cards. and the other eight are not trap cards. 1foo draw a single hand of seven 1andon1 cards From the shuttled declc. LetX be the number of trap cards in 1your hand. {a} Iil'il'hat kind o-F distribution does X. the number of trap cards in your hand, have? Also give its parameters. 0 binomial with o = 12. x = ?. and p = 1"12 0 hypergeometric with N = 20. M = 12. and o = ? O hypergeometric with H = 12. M = I", and n = 1.2 C} binomial with o = 2U. x = 12, and p = WED Eb) Find the probabilities oF getting 2 trap cards in your hand, no more than two trap cards in your hand, and at least two trap cards in 1,rour hand. Round to four decimal places. FHExactly 2 trap cards in your hand) = |:| Frfhlo moreI than 2 trap cards in your hand] = |:| FHAt least 2 trap cards in your hand] = |:| {c} Calculate the mean and standard deviation of the number of trap cards in your hand. Round to two decimal places. mean |:| tan cards standard deviation |:| trap cards