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Given that xx is a random variable having a Poisson distribution, compute the following: (a) P(x=1)P(x=1) when...

Given that xx is a random variable having a Poisson distribution, compute the following:

(a) P(x=1)P(x=1) when μ=4.5μ=4.5
P(x)=P(x)=

(b) P(x≤8)P(x≤8)when μ=0.5μ=0.5
P(x)=P(x)=

(d) P(x<1)P(x<1) when μ=1μ=1
P(x)=P(x)=

Solutions

Expert Solution

Part a)

Probability mass function of Poisson distribution is

Part b)

P ( X <= 8 ) = 1

Part c)

P ( X > 7 ) = 1 - P ( X <= 6 ) = 1 - 0.8894

P ( X > 7 ) = 0.1106

Part d)

P ( X < 1 ) = P ( X = 0 ) = 0.3679

milcah answered 9 months ago

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