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10% condition
n < (.10)N
What does the 10% condition prove?
We can use a binomial distribution even though it is not independent.
Large Counts Condition
np > 10 & n(1-p)>10
What does the large counts condition prove?
That we can use a normal distribution to model a binomial distribution.
Calculate the mean of a binomial
np
Calculate the standard deviation of a binomial
Square root of np(1-p)
Calculate the mean of X + Y
Mx+My
Calculate the mean of X-Y
Mx-My
Calculate the standard deviation of X+Y
Square root of X²+Y²
Calculate the standard deviation of X-Y
Square root of X²+Y²