Assume the number of commuters using the QR code payment service at each MTR station follows a Poisson probability distribution. Based on recent statistics, on average, 3 commuters use the QR code payment service in an hour. (i) What is the probability there are exactly 4 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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Assume the number of commuters using the QR code payment service at each MTR station follows a Poisson
(i) What is the probability there are exactly 4 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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