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If the mean of a binomial distribution is 12 and its standard deviation is 2, then the number of trials is :  18142416

Question

If the mean of a binomial distribution is 12 and its standard deviation is 2, then the number of trials is :

18142416

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Solution

The question seems to be asking for the number of trials in a binomial distribution given the mean and standard deviation. However, the number "18142416" at the end of the question seems to be out of place and doesn't fit into the context of the question.

The mean (μ) and standard deviation (σ) of a binomial distribution are related to the number of trials (n) and the probability of success (p) in each trial by the following formulas:

μ = np σ² = np(1-p)

Given that μ = 12 and σ = 2, we can use these formulas to find n and p. However, we have two equations and three unknowns (n, p, and σ²), so we need more information to find a unique solution.

If we assume that the number "18142416" is a typo and ignore it, we still need more information to solve for n and p.

This problem has been solved

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