CA Foundation · Quantitative Aptitude · Theoretical Distributions
A researcher records the number of road accidents per day at a busy Mumbai junction. Accidents are rare, occur independently, and there is no fixed upper limit on the count in a day. Which theoretical distribution is the most suitable model?
The Poisson distribution is most suitable. Accidents are rare, independent events counted over a fixed interval, and there is no fixed number of trials or upper limit. Binomial needs a fixed number of trials, and normal describes continuous variables, so neither fits this situation.
- ABinomial distribution
- BPoisson distributionCorrect
- CNormal distribution
- DUniform distribution
Explanation
Counts of rare, independent events over a period of time, with no fixed number of trials, are modelled by the Poisson distribution. Binomial needs a fixed number of trials n, which is not given here. Normal is for continuous measurements.
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