The Local Police Department Must Write,on Average,5 Tickets a Day

question 85

Short Answer

The local police department must write,on average,5 tickets a day to keep department revenues at budgeted levels.Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.4 tickets per day.Find the probability that less than 6 tickets are written on a randomly selected day from this population.

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Definitions:

Standard Error

A measure of the standard deviation of the sampling distribution of a statistic, indicating the accuracy with which a sample represents a population.

Standard Deviation

A statistical metric that quantifies the dispersion or spread of a dataset relative to its mean.

Sample Proportion

The fraction or percentage of items in a sample that are part of a particular category or characteristic of interest.

Binomial Distribution

A statistical function that delineates the chances of a variable assuming either of two mutually exclusive values, based on certain parameters.