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Binomial and Normal distributions

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Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5.

Find the probability that x = 2 using the binomial tables.

Use the normal approximation to find the probability that x = 2

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Solution Summary

The solution contains the determination of a binomial probability using normal approximation (continuity correction).

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a) Since X follows a Binomial distribution with parameters n = 15 and p = 0.5, the probability mass function of X is given by,
P(X=x)= nCx p^x(1-p)^(n-x), x = 0, 1, ..., ...

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