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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
Transcribed Image Text: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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