SOLUTION: 20. The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate

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Question 872105: 20. The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x.
n = 17 p = 0.32 q = 0.68

Found 2 solutions by richard1234, ewatrrr:
Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website!
With sample size n = 17, the probability distribution should look fairly normal, but it depends on your sample size and probability p (if n increases or if p is close to 0.5, the resulting binomial distribution will look more and more normal). The answer to your question depends on what your threshold for normalcy is.

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Note: We can use the normal distribution as a close approximation to the
binomial distribution whenever np ≥ 5 and nq ≥ 5.
and Yes, we can