Course Solutions Uncategorized (Solved) : 1 15 Points Short Answering Questions Question Worths 2 Points Except Last One Worths 3 P Q32858624 . . . .

(Solved) : 1 15 Points Short Answering Questions Question Worths 2 Points Except Last One Worths 3 P Q32858624 . . . .

 

1 (15 points). Short answering questions. Each question worths 2 points, except the last one which worths 3 pints. 1). Is it true that the set of all possible values of a random variable form the sample space? 2). What is a random variable? Give an example of named random variable 3). Let px (x) be the PMF of random variable X. What can you say about Px (z)? 4). Let X be a random variable. How many random variables are there among X, X2, EX, 1 + Var(X)? 5), Let X, Y be random variables. When does it hold that E(X + Y) E(X) E(Y)? 6). Let X be a random variable and constant c 〉 0, Is it true that Var(X + c) > Var(X)? 7). What are the conditions one checks to verify a Binomial random variable?

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