Calculate the variance of a random variable X whose characteristic function is (1+ e3it)² f(t) = 4

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Q: 2. Let us consider a discrete random variable having the pmf given by, k = 1 Px(k) = {2 k = 2. 3' 0,…

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Q: Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 >…

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Q: Suppose the random variables X,,X2,X; have the population variance/covariance matrix: 1 -2 0 E=-2 0…

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Q: • The pdf of a uniform random variable is given by: Ax) = -0,xb • Find the CDF.

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Q: 24. Show that the mean x of a random sample of size n from the distribution: 1 x/0 f (x, 0) = 6 °,0…

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Q: The conditional expectation of Y given X-x is x 00 The conditional variance of Y given X-x is ²

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Q: X is an poisson random variable with parameter λ = 4 Calculate P {X ≤ 3}

A: It is given that X is the random variable and the mean given by λ is equal to 4 The probability of X…