a) The number of students who come into the tutoring center between 8 and 8:30am has a Poisson distribution with λ = 5. Determine \( P(x \leq 2) \)b) How many students can the tutoring center be 95% confident that the number of students on any given day will not exceed that number?

a) The number of students who come into the tutoring center between 8 and 8:30am has a Poisson distribution with λ =5. Determine P(x ≤ 2) b) How many students can the tutoring center be 95% confident that the number of students on any given day will not exceed that number?

a) The number of students who come into the tutoring center between 8 and 8:30am has a Poisson distribution with λ =5. Determine P(x ≤ 2) b) How many students can the tutoring center be 95% confident that the number of students on any given day will not exceed that number?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

a) The number of students who come into the tutoring center between 8 and 8:30am has a Poisson distribution with λ = 5. Determine \( P(x \leq 2) \)

b) How many students can the tutoring center be 95% confident that the number of students on any given day will not exceed that number?

Expert Solution

Step 1: Write down the given information

Poisson distribution :

λ = 5

Probability :

P(X=x) = (λ^x * e^(-λ)) / x!

Here :

x! = (x*(x-1)*(x-2)*.........1)

Step by step

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