When do we need to apply a continuity correction of 1/2n when approximating a binomial distribution to a normal distribution?
Q) Random samples of size 120 are taken from the distribution B (15,0.4). Find the probability that the mean of a random sample of size 120 is greater than 6.1.
Do I attempt this question by making it N (6, 3.6/120)
P(X Bar > 6.1)
Apply continuity correction --> P (X bar > 6.1 + 1/240) hence leading to
1 - P (6.1+ 1/240 - 6/ Square Root of 3.6/120)
Urgent help please as my exam is tomorrow T^T
Q) Random samples of size 120 are taken from the distribution B (15,0.4). Find the probability that the mean of a random sample of size 120 is greater than 6.1.
Do I attempt this question by making it N (6, 3.6/120)
P(X Bar > 6.1)
Apply continuity correction --> P (X bar > 6.1 + 1/240) hence leading to
1 - P (6.1+ 1/240 - 6/ Square Root of 3.6/120)
Urgent help please as my exam is tomorrow T^T