Normal Approximation To The Binomial Distribution. µ np and σ np1 p The normal approximation may be used when computing the range of many possible successes. There are several conditions that must be met when using a normal distribution to calculate a binomial distribution. Part b - Probability Method. Normal approximation to the binimial distribution.
2 standard deviations of the mean 1 c. 3 standard deviations of the mean. Hence the mean for the binomial distribution with n trials is np. Where p is the probability of S. N 1-p 5. There are several conditions that must be met when using a normal distribution to calculate a binomial distribution.
Hence the mean for the binomial distribution with n trials is np.
This is known as the normal approximation to the binomial. A Boeing 767-300 aircraft has 213 seats. The outcome of each trial must be independent. There must be a fixed number of trials. For a normal distribution state the amount of area that must lie within a. Then the binomial can be approximated by the normal distribution with mean mu np and standard deviation sigma sqrtnpq.