Answer:
Step-by-step explanation:
Given that a grocery supplier believes that the mean number of broken eggs per dozen is 0.8 with a standard deviation of 0.6.
Here we assume the cartons of eggs are independent
a) Mean value of eggs in 8 dozens = 8 Expected value in 1 dozen
b) Var (8x) (Here 8 dozens)
(assuming independent)
Otherwise we have Var(x1+x2+x3+...)=sum of var of xis + cov (xi,xj)
Thus we have to assume independent to avoid covariance
So Var(8x)=64 Var(x)
STd dev for 8 dozens = 8(0,6) = 4.8
c) To avoid covariance i.e. variance among pairs of dozens we assume independence.