A company wants to track the number of calls they receive over a day to decide how many people they want to hire. They make the following assumptions.You are given a task to determine the probability of receiving exactly k number of calls during a specific day. Which of the following distributions can you use to complete this task:AssumptionsEach call occurs independently from every other call.A given call has the same probability of occurring at any given time of the day.Calls occur at a rate of λ calls per day.BinomialPoissonNormalNone of these
Question
A company wants to track the number of calls they receive over a day to decide how many people they want to hire. They make the following assumptions.You are given a task to determine the probability of receiving exactly k number of calls during a specific day. Which of the following distributions can you use to complete this task:AssumptionsEach call occurs independently from every other call.A given call has the same probability of occurring at any given time of the day.Calls occur at a rate of λ calls per day.BinomialPoissonNormalNone of these
Solution
The correct distribution to use in this case is the Poisson distribution. This is because the Poisson distribution is used to model the number of events (in this case, calls) occurring within a fixed interval of time (a day) with a known average rate (λ calls per day), and where each event occurs independently of any other events. The assumptions given also align with the conditions for a Poisson distribution.
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