A random variable X is uniform from 4 to 8. A Gaussian random variable Y has mean of 10. Approximate the variance ofYY if only 2.5% of its elements is a subset of X.

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A: Introduction - Z-score  z=x-μσwhere , μ=population mean x=score σ=standard deviation +

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Q: the probability that the sample mean is between 448 and 453 is closest to _______.

A: Let M be the sample mean for the sample of size n = 100.

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Q: Let X be a random variable with a variance of 2. Find the variance of 5X+5. Answer: Var(5X+ 5)=

A: We can find the answer as below

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A: Here X ~ N ( μ, σ2) ,  then we have L  = ∏i=1n1σ2πexp-12σ2(xi - μ)2 = 1σ2πn exp -∑i=1n( xi -μ)2/ 2σ2…

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A: Suppose X is a random variable with standard beta distribution and parameters (alpha) = 8 and (beta)…

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Q: If continuous random variable normally distributed with mu = 256.43 and J = 27.11 , what is P(225.75…

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Q: Suppose X, Y, and Z are three independent normal random variables. X has an expected value of 7 and…

A: a) T=3X+12Y-2Z To Find: E(T) E(T)=3E(X)+12E(Y)-2E(Z)=3×7+12×(-2)-2×5=13 Answer: 13