(a) The number of reported traffic accidents at a dangerous crossroads each month is believed to follow a Poisson distribution, Poi(µ). Seven accidents occur during a particular month. Estimate µ, giving approximate error bounds (± 2 × standard error). (b) Suppose that the actual value of µ is 4 accidents/month. Find (i) the probability of obtaining a value as large as, or larger than 7 on any given month. (ii) the mean and variance of the total number of accidents likely to be reported during a full year.
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.
6 (a) The number of reported traffic accidents at a dangerous crossroads each month is believed to follow a Poisson distribution, Poi(µ). Seven accidents occur during a particular month. Estimate µ, giving approximate error bounds (± 2 × standard error).
(b) Suppose that the actual value of µ is 4 accidents/month.
Find (i) the probability of obtaining a value as large as, or larger than 7 on any given month.
(ii) the mean and variance of the total number of accidents likely to be reported during a full year.
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