how that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .

Q: Find the distribution of W = X^2 when X is Normally distributed with mean = 0 and variance = 4

A:

Q: Let X and Y be independent random variables, each with mean=mu and variance=sigma^2. Find the…

A: From the given information, Consider, X and Y be independent random variables,…

Q: Give the derivation of the variance for the binomial distribution.

A: X~Bin(n,p)

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: Suppose that the random variable X has the following cumulative distribution function. F(x) = x 3…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

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Q: Perform a a Pearson’s correlation in SPSS to determine whether the weight of an automobile…

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Q: Suppose that X and Y are random variables where the conditional expected value of Y given X is given…

A: # random variable x and y such given  E(y/x)=3*X+6  E(x)=0 & var(x)=9  Then to find minimum…

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

A: Variance is a measure of dispersion.

Q: Suppose that 90% of Narnians are children, that Narnian children have normally distributed BMIs with…

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Q: 5.5.4. Let Y1, Y2, ..., Yn be a random sample from the uniform pdf fy(y; 0) = 1/0, 0 ≤ y ≤ 0.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the variance of the random variable X with a PDF given by 3x2 S* if - 1< x< 1, f(x) = 2…

A:

Q: b) Find the variance Var(X) of X.

A:

Q: Daily sales of a store is normally distributed with mean u=180 Rials and variance o? =100. Find the…

A: From the provided information, Mean (µ) = 180 Rials Variance (σ2) = 100 Let X be a random variable…

Q: Prove that average reduces Variance

A: Hint: The average is the mean of all observations. It gives the central value of the data. The…

Q: Let a and b be any real numbers and let x = (x,. Xz ----Lp --,L) be a data set with a sample mean f…

A:

Q: Show that the conditional variance can be written as σ^2 (X) = E { Y^2 | X} −(E[Y | X])^2     no…

A: A variance is a measurement of how far each individual in the dataset is residing from the mean and…

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: Let X1 and X2 be independent random variables from a normal distribution with mean equal to one and…

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Q: X is a uniform random variable with expected value μx = 7 and variance Var[X] = 3. What is the PDF…

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Q: 4), X2 ∼ N(μ = 1, σ^2 = 16), and X3 ∼N(μ = −4, σ^2 = 9). Let X1, X2, and X3 be independent and Y =…

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Q: If B; is an unbiased estimator of B; is also a consistent estimator of B, then when the sample size…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: the random variable Y is such that : E(2Y+3)=6    and    Var(2-3Y)=11 find      E(Y^2)

A: