Given that X is a random variable having a Poisson(2) distribution, compute the following:(a) P(X= 7) when λ = 1.5P(X= 7) =(b) P(X ≤6) when λ = 0.5P(X ≤ 6) =(c) P(X> 4) when λ = 4P(X > 4) =(d) P(X<8) when λ = 0.5P(X < 8) =

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Answered: Given that X is a random variable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. A discrete random variable X follows the Uniform distribution if X takes values x = 1, 2, .., N, with P(X = x) = 1/N. Compute E(X), E(X²) and the variance Var(X). You may use the following identities: п(п + 1) (1) 2 п(п + 1)(2n + 1) (2) i=1
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Suppose X is a discrete random variable which only takes on positive integer values. For the cumulative distribution function associated to X the following values are known: F(23) 0.34 F(29) = =0.38 F(34) 0.42 F(39) 0.47 F(44) = 0.52 F(49) 0.55 F(56) = 0.61 = Determine Pr[29

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Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X= 7) when λ = 1.5 P(X= 7) = (b) P(X ≤6) when λ = 0.5 P(X ≤ 6) = (c) P(X> 4) when λ = 4 P(X > 4) = (d) P(X < 8) when λ = 0.5 P(X < 8) =