Question:

Let 𝑋1,𝑋2, … be a sequence of 𝑖. 𝑖. 𝑑. random variables such that
\(P(X_1=0)=p(X_1=1)=P(X_1=2)=\frac{1}{3}\)
Let 𝑆𝑛 = 1 𝑛 βˆ‘ 𝑋𝑖 𝑛 𝑖=1  and 𝑇𝑛 = 1 𝑛 βˆ‘ 𝑋𝑖 𝑛 2 𝑖=1 , 𝑛 = 1, 2
Then, the value of 𝛼1+2𝛼2+3𝛼3+4𝛼4 equals

Updated On: Oct 1, 2024
  • 6
  • 5
  • 4
  • 3
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The Correct Option is A

Solution and Explanation

The correct option is (A): 6
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