SOLUTION: Given a binomial distribution with n = 36 and p = 0.87, would the normal distribution provide a reasonable approximation? Why or why not?

Algebra ->  Probability-and-statistics -> SOLUTION: Given a binomial distribution with n = 36 and p = 0.87, would the normal distribution provide a reasonable approximation? Why or why not?      Log On


   



Question 646303: Given a binomial distribution with n = 36 and p = 0.87, would the normal distribution provide a reasonable approximation? Why or why not?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: normal distribution provides a reasonable approximation for a binomial distribution
whenever np ≥ 5 AND nq ≥ 5 (most textbooks use 5)
36%2A.86+=+27.25 However 36%2A.13+=+4.68
Both condiditons are not met, so NO