Question

In the study learning material (SLM), you have seen many situations where Poisson distribution is suitable and discussed some examples of such situations. Create your own example for a situation other than those that are discussed in SLM. If you denote your created random variable by X then find the probability that X is less than 2.

24 Apr 2024
Answer :
Word Count : 655

In the field of probability, the Poisson distribution is often used to model the number of events occurring within a fixed interval of time or space, under certain conditions. These conditions include the events being independent, occurring at a constant average rate, and being rare. One example frequently discussed in the study learning material (SLM) might be the number of phone calls a call center receives in an hour. However, let us now create a new example that demonstrates the application of the Poisson distribution in a different context.

Scenario:

Suppose a small bakery receives a random number of customer complaints about its products every day. Let the number of complaints per day follow a Poisson distribution with an average rate of 3 complaints per day. We denote the random variable ___ _______ _________ _________ ___ ______ _____ ___ ________ ______.
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