Given that \( x \) is a random variable having a Poisson distribution, compute the following:(a) \( P(x = 8) \) when \( \mu = 4 \) \[ P(x) = \boxed{\phantom{0}} \](b) \( P(x \leq 4) \) when \( \mu = 6 \) \[ P(x) = \boxed{\phantom{0}} \](c) \( P(x > 4) \) when \( \mu = 3 \) \[ P(x) = \boxed{\phantom{0}} \](d) \( P(x < 8) \) when \( \mu = 5.5 \) \[ P(x) = \boxed{\phantom{0}} \]

The probability mass function for Poisson distribution is,where, μ is mean.

Answered: Given that is a random variable having…

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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Given that is a random variable having a Poisson distribution, compute the following: (a) P(x = 8) when μ = 4 P(x) = [ (b) P(x ≤4)when μ = 6 P(x) = (c) P(x > 4) when μ = 3 P(x) = [ -0 (d) P(x < 8) when μ = 5.5 P(x) =