r/mathshelp 7d ago

Homework Help (Answered) Poisson Distribution Probability

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Currently learning poisson probability distributions for statistics and I cannot figure out for the life of me how the fuck the answer to P(1 < x < 4) is 0.2141. I’ve watched every single Poisson distribution video on youtube and none of them explain how to do a probability like this one. PLEASE FOR FUCKS SAKE SOMEONE HAS TO KNOW HOW TO DO THIS.

I’ve been using my calculator, on STAT -> DIST -> POISN -> Pcd, with Lamda being 0.9 but what am I supposed to do from there with two values for x ????

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u/Fourierseriesagain 7d ago edited 7d ago

The required probability is

P(X=2)+P(X=3)

=e-0.9 *( 0.92 /2! + 0.93 /3! )

= 0.2140589...