SOLUTION: Determine if the normal distribution can be used to approximate the binomial distribution with a sample size of n=5 and probability of p=0.3?
A)Yes
B)NO
Algebra ->
Probability-and-statistics
-> SOLUTION: Determine if the normal distribution can be used to approximate the binomial distribution with a sample size of n=5 and probability of p=0.3?
A)Yes
B)NO
Log On
Question 1103988: Determine if the normal distribution can be used to approximate the binomial distribution with a sample size of n=5 and probability of p=0.3?
A)Yes
B)NO Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! In order for the normal approximation to work, the following conditions must hold:
Note: Some books use 10 in place of 5
Compute both n*p and n*(1-p)
n*p = 5*0.3 = 1.5
n*(1-p) = 5*(1-0.3) = 5*0.7 = 3.5
So both and are false. The same applies to and as well.
Therefore the normal approximation cannot be used.