Let X be a random variable with CDF x > 1 Fx(x) = 0 < x < 1 %3D x < 0 a. What kind of random variable is X: discrete, continuous, or mixed? b. Find the PDF of X, fx(x). c. Find E(e*).

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A: The solution is given below.Explanation:Given:Given the probability density function (pdf) for a…

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A: As per bartleby guidelines we can solve only first question and rest can be reposted

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A: It is given that, the pdf of a random variable is given by f(y)=1/10, -5&lt;y&lt;5

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Q: - Find the cumulative distribution. Find P(x41. 5

A: The cumulative distribution fu⁸nction of X is defined as F(x) = P(X ≤ x)

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A: f(x)=ke-0.5x ; x&gt;0

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Q: (a) Are X and Y statistically independent

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Q: Let X be a random variable and a real number. Show that E(X - a)² = varX + (µ − a)² Hereμ = EX is…

A: E(X−a)2=E(X−μ+μ−a)2=E((X−μ)+(μ−a))2=E((X−μ)2+2(X−μ)(μ−a)+(μ−a)2)=E(X−μ)2+E(2(X−μ)(μ−a))+E(μ−a)2=E(X−…

Q: Let X be a random variable with pdf: f(x)= k(10 - 2x) for x being [0,5]  a.) Find k b.) Find E(X)…

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A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS

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Q: Let X be a random variable with E[X]=2, Var(X)= 4. Compute the expectation and variance of 3– 2X .

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A: According to the Bartleby guidelines expert solve only one question and maximum three subpart of the…

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Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

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Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

Q: Let X be a binomially distributed random variable B(n, p) with E(X) = 2 and Var(X) = 4/3. Find n.

A:

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Q: X is a continuous random variable and the pdf of X is x > 1 f(x) : xs1 Determine the value of k for…

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