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Suppose that X has uniform distribution on the interval [0, 100][. Let Y denote the greatest integer smaller than or equal to X. Which of the following is true?

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CSIR-UGC (NET) Mathematical Science: Held on (26 Nov 2020)
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  1. P(Y ≤ 25) = 1/4
  2. P(Y ≤ 25) = 26/100
  3. E(Y) = 50
  4. E(Y) = 101/2

Answer (Detailed Solution Below)

Option 2 : P(Y ≤ 25) = 26/100
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Detailed Solution

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P(Y ≤ 25) = 26/100

Option (2) is correct

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Last updated on Jun 23, 2025

-> The last date for CSIR NET Application Form 2025 submission has been extended to 26th June 2025.

-> The CSIR UGC NET is conducted in five subjects -Chemical Sciences, Earth Sciences, Life Sciences, Mathematical Sciences, and Physical Sciences. 

-> Postgraduates in the relevant streams can apply for this exam.

-> Candidates must download and practice questions from the CSIR NET Previous year papers. Attempting the CSIR NET mock tests are also very helpful in preparation.

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