Law Enforcement: Shoplifting The Denver Post reported that, on average, a large shopping center has had an incident of shoplifting caught by security once every 3 hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in the 11-hour period during which the center is open. Explain why the Poisson Probability distribution would be a good choice for the random variable r. What is λ? What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? What is the probability that from 10 A.M. to 9 P.M. there will be at least no shoplifting incidents caught by security?
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.
Law Enforcement: Shoplifting The Denver Post reported that, on average, a large shopping center has had an incident of shoplifting caught by security once every 3 hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in the 11-hour period during which the center is open.
- Explain why the Poisson Probability distribution would be a good choice for the random variable r. What is λ?
- What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security?
- What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security?
- What is the probability that from 10 A.M. to 9 P.M. there will be at least no shoplifting incidents caught by security?
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