Put your answer in the blank (no explanation is required). 1) Consider the sample space S...

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Put your answer in the blank (no explanation is required). 1) Consider the sample space S ={1,2,3,4,5,6,7,8,9,10), Ais the set of all odd numbers, B is the set of all even numbers, C is the set of numbers less than 5, D is (7,8) then BUD An (CU D)- 2) Put 3 balls into 4 boxes at random. The probability of that there is at most one ball in each box is 3) Suppose A and B are two independent random events, P(AU B) 0.6, P(A)-0.54, then P(B)o Suppose a random variable then p- Suppose X-Bin(10,0.4),Y-2x+5, then E(Y) -2 01 2 0.3 0.1 p 0.4 4) X has the probability distribution with ,P(x 22) , and E(X)- 5) Var(Y) , 6) Suppose X-NC-3,4) and YN(2,9), X and Y are independent, then Var(X-2Y)

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