Number of patients that arrive in a hospital emergency center between 6 pm and 7 pm is modeled by a Poisson distribution with λ=5. Determine the probability that the number of arrivals in this time period will be Exactly four ? At least two ? At most three? Please solve using R, and post the commands
1) Exactly 4:
> dpois(4,5)
[1] 0.1754674
2) Atleast 2
> ppois(2,5,lower=FALSE)
[1] 0.875348
3)Atmost three.
ppois(3,5,lower=TRUE)
[1] 0.2650259

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