Question 3 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2006
Session	June
Topic	Linear combinations of normal random variables
Type	Non-normal population sample mean (CLT)

3 Random samples of size 120 are taken from the distribution \(\mathrm { B } ( 15,0.4 )\).

Describe fully the distribution of the sample mean.
Find the probability that the mean of a random sample of size 120 is greater than 6.1.