F (x) = c du for x e R. For what value of c is F a distribution function?
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A: The joint probability function is f(x, y)=2 for x≥0,y≥0,x+y≤1 0 otherwise
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A: We know, X~ExpaY~ExpbZ=X+Y Therefore, fXx=a.e-axu(x)fYy=b.e-byu(y)
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A: Integration of continuous random variable is 1.
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A: From the given information, fx,θ=12πe-x-θ22, -∞<x<∞, -∞<θ<∞ Given hypothesis:…
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A: The E(X) can be calculated as ∫0∞x·fxdx And the cumulative function F(x) is defined as Fx=PX≤x
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A: Solution
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A: Solution: There is two different question I am solving second
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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
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Q: i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).
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Q: If X has a beta distribution with parameters a and B, show that aß V (X) = (a + B)2 (@ + B + 1)
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Q: a) Suppose that, for -1 < a < 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂)…
A: Solution
Q: 3. Let X be a continuous random variable with PDF: f(x) = 2x/9 for 0<x<3. Let Y = 2X+1. Using the…
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Q: Let X have a gamma distribution (a, ß)and Let Y = e*. Find G(y)and g(y) by D F method
A: From the given information, X be a gamma distribution (α,β).
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Q: a) Find the marginal distribution of X and Y b) What is the conditional distribution of X given Y=2.…
A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have…
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Q: The x² distributions take on A) positive B) negative C) positive and negative values.
A: In this case, we need to find the correct option for the given statement.
Q: Find the m.g.f. for triangular distribution defined by f(x) = x₁ f(x) = 2-x. 0≤x≤ 1, 1 ≤ x ≤2.
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Q: a) Suppose that, for -1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂)…
A: Solution
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A: It is an important part of statistics. It is widely used.
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