QUESTION 2 Suppose X has a continuous uniform distribution on the interval [-1,3]. Find the variance, o² = var(X), of X. Round to 4 decimal places if needed.

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Q: Which of the following is true about variance and standard deviation? a) The standard deviation…

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Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: Let (X, Y) be BVN(0,0, 1, 1, p). Find the variance of XY.

A: Given that; (X, Y)~BVN(0, 0, 1, 1, ρ)⇒X~Normal(0,1) and Y~Normal(0,1)Y|X=x~Normal(ρx, 1-ρ2) We know;…

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Q: dependent observations X₁, X2 and X3 come from normal stributions that have the same mean, μ, but…

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A: From the provided information, The probability density function of a random variable X is as follow:…

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Q: 2 Show that variance o? (x²) – ((x))²

A: Variance is a measure of dispersion.

Q: Q1: Calculate the mean and the variance for Weibull Distribution when (i) a = 4,ẞ= 1 (ii) a = 1, ẞ =…

A: For weibull distribution the mean and variance are given as Mean(μ) =αβμ=αΓ(1+1β)Variance…

Q: Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50,…

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Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Hello, Thanks for posting your question here.  I believe that here you're asked to find µx̅  and σx̅…

Q: X1,..., X, are independent, identically distributed RVs with mean u and variance g2. Find the mean…

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Q: Find the exact mean value of X using the lowest common denominator and find the exact variance of X…

A: The pdf of random variable x is given by, fx=40-x800  ; 0≤x≤40      0      ; otherwise

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A: We have to discuss about the sampling distribution of the sample total.

Q: Let X, X2, .., Xm, be a random sample of size n = 2m + 1 from exponential distribution with…

A: Let X1, X2, ..., Xn be a random sample of size n=2m+1 from exponential distribution with parameter…

Q: X and Y are independent. If we are given P(X = 0) = P(X =1) = P(X =2) = }, P(Y = 1) = 3. P(Y = 2) =…

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Q: Suppose the number of car crashes in a state on any given day is 43 with a standard deviation of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

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Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is…

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Q: Areas under normal distribution curves can be used calculate probabilities of many random variables…

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