1. ## 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

2. Are you sure?

$n \cdot p\;=\;10$

$n \cdot p \cdot q\;=\;16$

Implies $n = -\frac{50}{3}$ and $p = -\frac{3}{5}$

Where does that leave us?