Suppose the math tutoring lab sees 56 students on a typical Tuesday and that the number of students per day is Poisson distributed.  a. Find P(X ≤ 43). What function or formula did you use to answer this question?       On my TI-84 Plus, I did a PoissonCDF with Lambda = 56 and the x value = 43. This resulted in 0.04309... Was I       correct in using the PoissonCDF, or should I have used the PoissonPDF? b. What is the probability that more than 60 students will come in next Tuesday?      Likewise,  on my TI-84 Plus, I did a PoissonCDF with Lambda = 60 and the x value = 56. This resulted in                 0.7309... Was I correct in assuming that the Lambda is 60 and the x value is 56?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose the math tutoring lab sees 56 students on a typical Tuesday and that the number of
students per day is Poisson distributed. 

a. Find P(X ≤ 43). What function or formula did you use to answer this question? 
     On my TI-84 Plus, I did a PoissonCDF with Lambda = 56 and the x value = 43. This resulted in 0.04309... Was I       correct in using the PoissonCDF, or should I have used the PoissonPDF?


b. What is the probability that more than 60 students will come in next Tuesday?

     Likewise,  on my TI-84 Plus, I did a PoissonCDF with Lambda = 60 and the x value = 56. This resulted in                 0.7309... Was I correct in assuming that the Lambda is 60 and the x value is 56?

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