Let x be a Poisson random variable with μ = 0.9. Find the probabilities for x using Table 2. (Round your answers to three decimal places.) P(1 ≤ x ≤ 4)

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Q: For a binomial random variable X, n = 15 and p= 0.60. Find P(x= 5)

A: Answer: From the given data, sample size (n) = 15 p = 0.60 X~ Binomial distribution (n,p)

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Q: Let x be a Poisson random variable with μ = 6.5. Find the probabilities for x using the Poisson…

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Q: Let x be a Poisson random variable with μ = 0.9. Find the probabilities for x using Table 2. (Round…

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A: Introduction A variable is any characteristic that is being measured.

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A: Given that X ~ Poisson (7) Mean = µ = 7 Variance = σ2 = 7

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Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

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Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

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.