Let X be a random variable. Which of the following statement is INCORRECT? If V (X) = 0, then there exists an æ, such that Pr(X = x) = 1. There are cases that V(X) does not exist. By the definition of the random variable, the range of X is a subset of R; therefore, there must exist at least one a such that Pr(X = x) > 0. If Pr(X = 1) < 0.95 and E(X) exists, then we must have E(X²) > (E(X))².

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A: Assume that X and Y are two independent discrete random variables.

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A: P(a&lt;X&lt;b) = F(b) - F(a) F(a) + P(a&lt;X&lt;b) = F(b)

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A: Given: Z=1 if X&gt;Y OR Z=0 if X&lt;=Y

Q: Let X1, X2, ..., X10 be independent random variables. Let Y1 = min{X1, X2, X3}, Y2 = max{X1, X2,…

A: The following solution is provided below

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A:

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A: Given the statement(s) : We need to choose the correct statement(s).

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Q: If X is a uniform random variable over the interval (8, 12), find E[X]

A:

Q: 1. Suppose X1, X2, ..., X10,000 are independent random variables with E(X;) = 8 and Var(X;) = 4 for…

A: Given that E(Xi) = 8 and Var(Xi) = 4

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Q: Let X be a random variable. Which of the following statement is INCORRECT? If V (X) = 0, then there…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.