suppose that x has a binomial distribution with n=15 and p=0.3. Is the normal approximation reasonable for this binomial distribution? Solution in order to use the normal approximation of a binomial distribution you must check to things n(1-p) >= 10 and np >= 10 in this case n is 15 and p is .3 so np = 4.5 and n(1-p) = 10.5 since np is below 10 you can not use the approximation.

1. suppose that x has a binomial distribution with n=15 and p=0.3. Is the normal approximation
reasonable for this binomial distribution?
Solution
in order to use the normal approximation of a binomial distribution you must check
to things n(1-p) >= 10 and np >= 10 in this case n is 15 and p is .3 so np = 4.5 and n(1-p) = 10.5
since np is below 10 you can not use the approximation