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If np is greater or equal to 5, and np is greater or equal to 5, estimate P(more than 7) with n=12 and p=0.7 by using the normal distribution as an approximation to the binomial distribution, if np is greater 5 or nq is greater than 5, state that the normal approximation is not suitable. P(more than 7) = ____. or the normal distribution cannot be used. 

Oct 16th, 2017

Given : n = 12 and p = 0.7

therefore q = 1 - p = 1-0.7 = 0.3,

Normal approximation can be used if and only if n*p as well as n*q are greater than 5.

n*p = 12 * 0.7 = 8.4 > 5 

but n*q = 12 * 0.3 = 3.6 < 5 

which means above condition is not  satisfied. and hence normal distribution cannot be used. 

Apr 9th, 2015

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