Suppose that X1,..., X, is a random sample from the Normal distribution N(0,0²) with parameter o > 0. Find the method-of-moment estimator of o.

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A: Note: Hi there! Thank you for posting the question. In your question, the parameters of the normal…

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A: Given information: The probability density function of the random variable X is as given below:

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Q: Suppose that f (x) = e* for 0 < x Determine the mean and variance of the random variable.

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A: Solution

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A: Given: X has a Poisson distribution with h = 80.

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Q: Let Y be a random variable with pdf giyen by

A: Given that fy=30y21-y2, 0&lt;y&lt;1 Formula for Ey4 is, Ey4=∫01y4fydy

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(mean of X,…

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A: ANSWER: For the given data,

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A: Reviewing information, Given that,  X1, X2,⋯⋯⋯,Xn  ~Poissonmean=θ since for Poisson distribution,…

Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P (X<70) based on the…

A: As per our guidelines, we are allowed to answer first question only. Thanks   1) X has Poisson…

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A: see the handwritten solution

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A: ANSWER:  For the given data,

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Q: 3. Suppose that X has a Poisson distribution with h= 80. Find the probability PCX< 70) based on the…

A: Here use normal approximation with continuity correction factor

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A: Poisson distribution formula is P(x)= (μ^x • e^−μ) / x!

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