Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.03. Suppose that on a given day 10 patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of X are: E(X)=0.4 and V(X)=0.384 O None of these O E(X)=0.5 and V(X)=0.475 O E(X)=0.3 and V(X)=0.291

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

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Q: Suppose that X ~ Pareto(y). Define Y = In(X+1). If E[X] = , then what is the variance of Y? %3D %3D

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

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Q: Let X ~N(0,E²). Find the CRLB for variances of the unbiased estimator of T(0) = e². %3D

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Q: Let X~N(0, 0?). Find the CRLB for variances of the unbiased estimator of T(0)= 0²

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Q: Derive the mean and he variance of X ~ Beta Ca, f).

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Q: 31) The probability that a Poisson variate X takes a positive value is 1 - e-1.5. Find the variance…

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Q: Then the value of the variance of X+Y is:

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Q: 4) Find the variance V(X).

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A: sigma^2   = ∑ (x −  μ)2 / n