(a) Give the marginal density of X1. (b) Give the marginal density of X2. (c) Give the conditional density distribution of X1 given X2 = 3.

Q: Find marginal distributions P(x) and P(y)

A: The objective is to construct the marginal distribution of P(x) &P(y) Given that the joint…

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Q: Find the marginal PDFs of X and Y.

A: The joint pdf is given by

Q: Let X =U(4) find Var(3x) and distribution function.

A: Uniform Distribution: It is the continuous distribution between a particular range (a and b) and the…

Q: (a) What value of c makes this a joint pdf? (b) Find the marginal distributions for X and Y . (c)…

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Q: Let X b(16, find E(4-3x) and distribution function.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: The probability density function of a known distribution is 1 f(u10) = T O exp (-), y>0, r(v) where…

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Q: 6. (Sec. 5.1) Two headlights of a car have the following joint pdf for their useful lifetimes X (the…

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Q: pose that X has a continuous distribution with probability density function fx(x) = 2 * x on the…

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Q: 24. Consider a distribution with density on the interval [0, 2]. Let the probability density…

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Q: Let m(t) =(1/6)e^t+(2/6)e^2t+(3/6)e^3t Find E(y) Find V(y) Find the distribution of y

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Q: Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1.    Find the marginal fx(x) and…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 36. QUESTION: Let X have the density f(x) = 2x if 0 < r <1 and f(x) = 0 otherwise. Show that X has…

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Q: (1) Let X = b(16,) find E(4-3x) and distribution function.

A: From the provided information, X~b (16, 1/4) Sample size (n) = 16 Probability (p) = 1/4

Q: Let X be a continuous random variable with density f (x) = 24x-4 for æ > 2. Then Var (X) is equal to

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Q: (7) Find the marginal density of X when the conditional density of X given {Y = y} is Poisson(y) and…

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Q: The random variable X models the loss in thousands of dollars due to a fire in a commercial…

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Q: (1) Let X b(16, find E(4-3x) and distribution function.

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Q: 2. Let f(x) = 3x(x² − 1)(x³ + 2x + 3) (a) Use distribution to expand the function. (b) Use the rules…

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Q: The random variable X has probability density function f where f(x)=\ ( kx(x + 1) (2-x ), 0 <= chi…

A: The probability density function is given as,

Q: (47) Let X b(8, -) find E(5+6x) and distribution function.

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Q: The density function of Xis (2(x-1), f(x)= (a) Find the mean E(4X+3); (b) Find the variance σ3x+2.…

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Q: Let X be a random variable with uniform distribution on the interval [-2,2]. Let Y be defined as Y =…

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Q: The lifetime of a machine part has a continuous distribution on the interval (0,45) months with…

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Q: For x1, the marginal distribution fx1 (x1) function is valid is it a density function)

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Q: Consider the probability density function fx (x) = a e-b lel where X is the ran variable which…

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Q: The probability density function of a distribution is given by x f(x) = exp(-7). Use differentiation…

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