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10.5. These are separate questions (obviously). (a) You are randomly dealt 13 cards from a standard deck of 52. If X is the random variable that counts the number of suits in your hand, compute E(X). (b) There are 4 boys and 6 girls that are going to be seated in a row. Let's say a b0y is sandwiched between two girls to mean the boy has a girl immediately to his left and to his right. If the ten children are labeled b1, b2, b3, b4, 91, 92, 93, Q47 95, 95 then the seating arrangement 91: b11621923b3ag4rg51b4195 has 2 boys sandwiched between 2 girls ((23 and b4) whereas the arrangement 91,51,92,52,93153:94:54195596 has all 4 boys sandwiched. Your job: compute the expected number of these 4 boys that are sand- wiched between two girls