To find: The condition, mean and standard deviation for a

e1s2kat26

e1s2kat26

Answered question

2021-09-15

To find: The condition, mean and standard deviation for a binomial random variable approximation to normal.

Answer & Explanation

grbavit

grbavit

Skilled2021-09-16Added 109 answers

In a binomial experiment, as the number of trials n increases, the probability distribution of the random variable X becomes more nearly symmetric and bell-shaped, for a fixed p.
If np(1p)10, the probability distribution will be approximately symmetric and bell-shaped. This result suggests that binomial probabilities can be approximated by the area under the normal curve, given that np(1p)10.
Introduction:
For a binomial experiment with n trials and probability of success p, has the mean np and standard deviation np(1p).
The condition for the normal approximation to the binomial probability distribution is np(1p)10.

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