SOLUTION: Consider a binomial experiment with 20 trials and probability 0.50 of success on a single trial. Use the normal distribution to approximate the probability of exactly 10 successes

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Question 1027871: Consider a binomial experiment with 20 trials and probability 0.50 of success on a single trial. Use the normal distribution to approximate the probability of exactly 10 successes
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
mu+=+np++=+20%2A0.5+=+10 and nq+=+20%2A0.5+=+10
==> both are greater than 5, so we can use the normal approximation.
Now sigma%5E2+=+npq+=+20%2A0.5%2A0.5+=+5
==>sigma+=+sqrt%28npq%29+=+sqrt%2820%2A0.5%2A0.5%29+=+sqrt%285%29
==> P(X = 10) = P(X >= 9.5) - P(X >= 10.5), applying the continuity correction factor.

Now use a table of standard normal values to find the difference.