Assume the number of commuters using the QR code payment service at each MTR station follows a Poisson probability distribution. Based on a recent statistics, on average, 3 commuters use the QR code payment service in an hour. (i) What is the probability there are exactly 5 commuters who use the QR code payment service in an hour? (ii) What is the probability that there are less than 4 commuters who use the QR code payment service in 3 hours? (iii) If five MTR stations are randomly selected, what is the probability that at least two of the five MTR stations will have less than 4 commuters who use the QR code payment service in 3 hours?

Assume the number of commuters using the QR code payment service at each MTR station follows a Poisson probability distribution. Based on a recent statistics, on average, 3 commuters use the QR code payment service in an hour. (i) What is the probability there are exactly 5 commuters who use the QR code payment service in an hour? (ii) What is the probability that there are less than 4 commuters who use the QR code payment service in 3 hours? (iii) If five MTR stations are randomly selected, what is the probability that at least two of the five MTR stations will have less than 4 commuters who use the QR code payment service in 3 hours?

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Description: Assume the number of commuters using the QR code payment service at each MTR station follows a Poisson probability distribution. Based on a recent statistics, on average, 3 commuters use the QR code payment service in an hour.(i) What is the probabil

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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