The expected number of car accidents in an intercity highway in a month is known as 4.5, (i.e. it has is known to be = 4.5). The number of accidents is known and to have a Poisson distribution. a) Compute the probability of exactly no accident in a month b) Compute the probability of exactly 1 accident in a month c) Compute the probability of at most 2 accidents in a month d) Compute the probability of at least 4 accidents in a month. e) Compute the probability of at most 4 accidents in a month, if it is known that there were at least 2 accidents. (Assume that the number of accidents for a month in the city follows a Poisson distribution)
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 expected number of car accidents in an intercity highway in a month is known as 4.5, (i.e. it has is known to be = 4.5). The number of accidents is known and to have a Poisson distribution.
a) Compute the
b) Compute the probability of exactly 1 accident in a month
c) Compute the probability of at most 2 accidents in a month
d) Compute the probability of at least 4 accidents in a month.
e) Compute the probability of at most 4 accidents in a month, if it is known that there were at least 2 accidents. (Assume that the number of accidents for a month in the city follows a Poisson distribution)
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