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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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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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