Question:
Let X(1) < X(2) < X(3) < X(4) < X(5) be the order statistics based on a random sample of size 5 from a continuous distribution with the probability density function
\(f(x)=\begin{cases} \frac{1}{x^2}, & 1 < x < \infin\\ 0, & \text{otherwise.} \end{cases}\)
Then the sum of all possible values of r β {1, 2, 3, 4, 5} for which E(X(r)) is finite equals __________
Let X(1) < X(2) < X(3) < X(4) < X(5) be the order statistics based on a random sample of size 5 from a continuous distribution with the probability density function
\(f(x)=\begin{cases} \frac{1}{x^2}, & 1 < x < \infin\\ 0, & \text{otherwise.} \end{cases}\)
Then the sum of all possible values of r β {1, 2, 3, 4, 5} for which E(X(r)) is finite equals __________
\(f(x)=\begin{cases} \frac{1}{x^2}, & 1 < x < \infin\\ 0, & \text{otherwise.} \end{cases}\)
Then the sum of all possible values of r β {1, 2, 3, 4, 5} for which E(X(r)) is finite equals __________
Updated On: Oct 1, 2024
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Correct Answer: 10
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The correct answer is 10.
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