Let x be a random variable with the following probability distribution X -1 1 P(x) 0.2 k 0.3 0.25 Find the expected value and the standard deviation for x. Select one: O a. 1.5 and 8.9 O b. 0.6 and 1.067 c. 0.2 and 1.067 O d. 0.6 and 0.517

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A: Given data, X P(X=x) -2 0.25 -1 0.15 0 0.35 1 0.25

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A:

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A: Answer is option a.910 Explanation is given below

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A:

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A: Farmula used  E(X)=∑xP(X=x)

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A: answer the correct option is A a. 2.7 and 2.1

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A: Given See the below excel output

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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.