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In the following scenarios, indicate those that describe a Poisson random variable.
Multiple select question.
The number of mortgage applicants who receive a loan in a sample of 10 applicants.
The number of customers who purchase concessions over the next hour at a movie theater.
The number of leaks in a specified stretch of a pipeline.
The number of customers in a sample of 20 who use a credit card to make a purchase at a local pharmacy.
The number of customers who purchase concessions over the next hour at a movie theater.
The number of leaks in a specified stretch of a pipeline.
The scenarios that describe a Poisson random variable are:
- The number of mortgage applicants who receive a loan in a sample of 10 applicants.
- The number of leaks in a specified stretch of a pipeline.
The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space when the events occur with a known average rate and independently of the time since the last event. In these scenarios, the number of mortgage applicants receiving a loan and the number of leaks are both examples of events that can be modeled using a Poisson random variable.