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 βˆšπ‘› βˆ‘ 𝑋𝑖 𝑖 𝑛 𝑖=1 + 𝑐2βˆšπ‘› 𝑑 β†’ 𝑍 ~ 𝑁(0,1), as 𝑛 β†’ ∞ .
Then, the value of \(\sqrt{3}\) (3𝑐1+𝑐2) equals

Updated On: Oct 1, 2024
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The Correct Option is D

Solution and Explanation

The correct option is (D): 5
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