Let X be a binomial random variable with parameters n and 0₁. Condi- m, let y be a binomial random variable with parameters tional on X -m and 02. = (a) What is the marginal distribution of Y? = (b) Find the functions g(k)= E(Y|X = k) and v(k) = Var(Y|X = k). Use these to find E(Y) and Var(Y). (c) Find Covariance(X, Y) and Correlation (X, Y).

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

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Q: Q3: let x be random variable with Beta distribution, find the V(x)?

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Q: 3. An agronomist breed two rice varieties which are X variety that are long and aromatic grain and Y…

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Q: x)=1,2,..., 6. lculate the mean and variance of the number o library to a borrower. dom variable…

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Q: Let X, and X, be independent exponential distributions with the same parameter 1. What is the joint…

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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.…

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Q: A random variable X has a normal distribution N(4,9). (1) Find V(X) and E(X²). (2) Let + be the cdf…

A: The normal distribution of the random variable is N(4,9).

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Q: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2…

A: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2 +…

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Q: Let a continuous random variable X follows normal distribution N(4.0, 16). Find (i) Pr(X 4.6).

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Q: Suppose random variable X has a Poisson distribution with t​ = 2 and λ= 4. What is​ E(X)?

A: