At a party, 2023 people put their hats in the centre of a room where the hats are mixed. Each person then randomly selects one. Let X be the number of people who select their own hats. 1. Which of the following statement on the expected value of X is true? (a)E[X] < 1 (b)E[X] = 1 (c)E[X] > 1 II. Which of the following statement on the variance of X is true? (a)Var(x) < 1 (b)Var(X) = 1 (c)Var(X) > 1

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