
Binomial distribution
Hello!! i need help with this problem please =)
If X has binomial distribution with mean=10, variance=16. A random sample with sample size=36 is taken from this population, what is the sample mean distribution? ( )
(A) Standard normal distribution
(B) Normal distribution with mean 10/36
(C) Normal distribution with variance 4/6
(D) None of above

Are you sure?
$\displaystyle n \cdot p\;=\;10$
$\displaystyle n \cdot p \cdot q\;=\;16$
Implies $\displaystyle n = \frac{50}{3}$ and $\displaystyle p = \frac{3}{5}$
Where does that leave us?