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If a Bernoulli trial is conducted $\mathrm{n}$ times, then Which one of the following is not suitable to use Poisson distribution?
(i) Each trial results in two mutually exclusive outcomes namely success, failure
(ii) The number ' $n$ ' of such trials is sufficiently large.
(iii) The trails are independent of each other.
(iv) The probability ' $p$ ' of success in each trial is very large.
Options:
(i) Each trial results in two mutually exclusive outcomes namely success, failure
(ii) The number ' $n$ ' of such trials is sufficiently large.
(iii) The trails are independent of each other.
(iv) The probability ' $p$ ' of success in each trial is very large.
Solution:
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Verified Answer
The correct answer is:
(iv)
The statement that the probability ' $p$ ' of success in each trial is very large. This is not suitable for using poisson distribution because the poisson distribution assumes rare events with small probabilities. ' $p$ ' is very large, the binomial distribution is more appropriate to use instead.
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