For the binomial distribution with n=24 and p=0.6 , state whether or not it is suitable to use the normal distribution as an approximation.
A) Normal approximation is suitable.
B) Normal approximation is not suitable.

Question

For the binomial distribution with  n=24  and  p=0.6 , state whether or not it is suitable to use the normal distribution as an approximation.
A) Normal approximation is suitable.
B) Normal approximation is not suitable.

Quizplus · Accepted Answer

The normal approximation is suitable for a binomial distribution if both np and n(1-p) are greater than or equal to 10. Here, np = 24*0.6 = 14.4 and n(1-p) = 24*0.4 = 9.6. Although n(1-p) is slightly below 10, it's close enough that the normal approximation is generally considered acceptable, especially since np is well above 10.

For the Binomial Distribution with N=24 and