Question:

Let Y Y be a continuous random variable such that P(Y>0)=1 P(Y > 0) = 1 and E(Y)=1 \mathbb{E}(Y) = 1 . For p∈(0,1) p \in (0, 1) , let ξp \xi_p denote the p p th quantile of the probability distribution of the random variable Y Y . Then which of the following statements is always correct?

Updated On: Oct 1, 2024
  • ΞΎ0.75β‰₯5 \xi_{0.75} \geq 5
  • ΞΎ0.75≀4 \xi_{0.75} \leq 4
  • ΞΎ0.25β‰₯4 \xi_{0.25} \geq 4
  • ΞΎ0.25=2 \xi_{0.25} = 2
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The Correct Option is B

Solution and Explanation

The correct option is (B): ΞΎ0.75≀4 \xi_{0.75} \leq 4
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