4. Suppose the moment generating function (mgf) of any random vector (X, Y), is given by M(t1, t2), then the mgf of X, Mx(t) = M(t, 0). True or false, explain.

Q: Please show step by step answer and calculate everything and make the graphic also.

A: a)Proved in explanation sectionb)λ≈5Explanation:a)Given that  Y1​,...,Yn​ are independent Poisson…

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A: Please see the attachment

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Q: 9. Find the best least squares fit of the form y=a+bx+cx° for the data (0,4.1), (1,1.2), (2,-0.1),…

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A: Given that X follows tri-variate Normal distribution.

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A: The joint pdf of X and Y is, fx,y=αxyI0,1xI0,x2y         =αxy, 0&lt;x&lt;1, 0&lt;y&lt;x2

Q: Q1 Let X1,.,X, f(r;0) = ()0 (1 – 0)2-, x = 0,1,2. (i) Find the score and information functions of 0.…

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

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A: Since solve the first question for you. If youwant any specific question to be solved then please…

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A: The answer is given using the formula of Poisson distribution.

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A: Answer: For the given data,

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