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If a problem involves calculating the probability of the occurrence of a number of discrete successes...

If a problem involves calculating the probability of the occurrence of a number of discrete successes within a specified volume of space, would you use binomial, Poisson, normal, or t-distribution to solve the problem? Explain your answer to get credit

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We will use Poisson distribution for  probability of the occurrence of a number of discrete successes within a specified volume of space.

P(x=k)=e^{-\lambda t}*\dfrac { (\lambda t)^k}{k!}

Normal and t distribution are continuous distribution.Binomial is discrete distribution but there are only two outcomes(success or failure).and used to model the number of successes in n number of trials.

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