Asked Nov 18, 2019

when can a normal distribution be used to approximate a binomial distribution?


Expert Answer

Step 1

Introduction to binomial distribution:

Consider a random experiment involving n independent trials, such that the outcome of each trial can be classified as either a “success” or a “failure”. The numerical value “1” is assigned to each success and “0” is assigned to each failure.

Moreover, the probability of getting a success in each trial, p, remains a constant for all the n trials. Denote the probability of failure as q. As success and failure are mutually exclusive...


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n piq x0,1n0 <p <l;q=1-p P(x) x otherwise Mean(m)np Variance npg Standard deviation (s)=\npq


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