The Poisson distribution is a discrete distribution, with random variable k, related to the number events. The discrete probability function (probability mass function) is given as: f(k; L) where L (lambda) is the mean and square root of lambda is the standard deviation, as given in the link below: http://en.wikipedia.org/wiki/Poisson_distribution
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The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.
Yes.
The mean and standard deviation do not, by themselves, provide enough information to calculate probability. You also need to know the distribution of the variable in question.
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