CA Foundation · Quantitative Aptitude · Theoretical Distributions
A bank in Nagpur wants to model the number of customers who arrive at a single counter during a randomly chosen 5-minute interval, where arrivals are independent and occur at a constant average rate, and there is no fixed upper limit on the count. Which theoretical distribution is most suitable?
The Poisson distribution is most suitable. The variable counts independent random arrivals in a fixed time interval at a constant average rate, with no fixed maximum number of arrivals. A binomial model would need a fixed number of trials, which is absent here.
- ABinomial distribution
- BPoisson distributionCorrect
- CNormal distribution
- DUniform distribution
Explanation
The variable counts occurrences of a random event over a fixed interval, with a constant average rate and no fixed upper limit on the count. These are the features of the Poisson distribution. The binomial needs a fixed number of trials, each with success or failure, which is not given here.
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