Homework Answers
| this is Poisson distribution with parameter λ=4.5 |
a)
P(X=0)=e-4.5*4.50/0! =0.0111
b)
P(X>3) =1-P(X<=3) =1-(P(X=0)+P(x=1)+P(X=2)+P(X=3))
=1-(e-4.5*4.50/0!+e-4.5*4.51/1!+e-4.5*4.52/2!+e-4.5*4.53/3!) =1-0.3423 =0.6577
c)
P(3<=X<=5) =P(X=3)+P(X=4)+P(X=5)
=e-4.5*4.53/3!+e-4.5*4.54/4!+e-4.5*4.55/5!
=0.1687+0.1898+0.1708 =0.5294
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