GATE 2014 EC (EC2) – Question 12
X is chosen uniformly from the positive odd integers below 100. Find E[X].
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Show answer and explanation
Correct answer: 49.9 to 50.1
Explanation
The equally likely values are1,3,…,99. This arithmetic progression has50terms and mean equal to the average of its endpoints. Thus E[X]=(1+99)/2=**50**. Uniform selection weights each odd value equally, not each decimal digit.