The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50.a. Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day.b. Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225 and 275.c. Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations.
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.
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50.
a. Calculate the approximate
b. Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225 and 275.
c. Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations.
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