Statistics Question on Probability

Question

Let 𝑋1,𝑋2, … be a sequence of independent random variables such that
$p(x_i=1)=\frac{1}{4}$ and $p(x_i=21)=\frac{3}{4}$ i=1,2,….
For some real constants 𝑐1 and 𝑐2, suppose that
𝑐1 √𝑛 ∑ 𝑋𝑖 𝑖 𝑛 𝑖=1 + 𝑐2√𝑛 𝑑 → 𝑍 ~ 𝑁0,1, as 𝑛 → ∞ .
Then, the value of $\sqrt{3}$ (3𝑐1+𝑐2) equals

Answer 1

Solution

The correct option is (D): 5