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GATE 2024 ST – Question 41

Standard Univariate Distributions · Discrete Distributions · 2 marks · Multiple choice

X is discrete uniform on {1,3,5,…,99}. Find E(X|X is not a multiple of 15).

  1. 2365/47
  2. 2365/50
  3. 50
  4. 47

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Correct answer: (A) 2365/47

Explanation

There are 50 odd values with total 50²=2500. The odd multiples of 15 are 15,45,75, total 135. Removing them leaves 47 equally likely values with sum 2365, giving **2365/47, A**.

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