The normal approximation to the binomial distribution is most useful for finding which of the following?
A) The probability P(X = k) when X is a binomial random variable with small n.
B) The probability P(X$\leq$ k) when X is a binomial random variable with large n.
C) The probability P(X = k) when X is a normal random variable with small n.
D) The probability P(X$\leq$ k) when X is a normal random variable with large n.

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is most useful for finding the probability P(X ≤ k) when X is a binomial random variable with a large number of trials (n). This approximation simplifies calculations for large n, where using the binomial formula directly would be cumbersome.

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The Normal Approximation to the Binomial Distribution Is Most Useful $\leq$