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Suppose that a certain bank returns bad checks at a Poisson rate of three per day. What is the probability that this bank returns at most four bad checks during the next two days?

Suppose that a certain bank returns bad checks at a Poisson rate of three per day. What is the probability that this bank returns at most four bad checks during the next two days?

A First Course in Probability (10th Edition)
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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7. Suppose that a certain bank returns bad checks at a Poisson rate of three per day. What is the probability that this bank returns at most four bad checks during the next two days? 2=3₁2t=3(2)=6 i = 2 PCX ≤ 4) = e² 2² i ! P(X=0) + P(X=1) + P(X=2) + P(X= 3) + P(X=4) = = e 6° o! + ( -66² +²6² +²²6²³² +0²6 64 -6.3 e e 14 2! 3! 4! 24 ( 7 e 9+ (0 636) + (e ² 216) e-6 1296 + 24. 1 2.12 6.4 24 e-6 1296 168 € -6 126 6.432 4€ 6.864 24 + 24 24 24 = 1680-€ + 51840-6 34560² + 12960-² 24 24 + 24 24 bloye 24
Transcribed Image Text:7. Suppose that a certain bank returns bad checks at a Poisson rate of three per day. What is the probability that this bank returns at most four bad checks during the next two days? 2=3₁2t=3(2)=6 i = 2 PCX ≤ 4) = e² 2² i ! P(X=0) + P(X=1) + P(X=2) + P(X= 3) + P(X=4) = = e 6° o! + ( -66² +²6² +²²6²³² +0²6 64 -6.3 e e 14 2! 3! 4! 24 ( 7 e 9+ (0 636) + (e ² 216) e-6 1296 + 24. 1 2.12 6.4 24 e-6 1296 168 € -6 126 6.432 4€ 6.864 24 + 24 24 24 = 1680-€ + 51840-6 34560² + 12960-² 24 24 + 24 24 bloye 24
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