GATE 2024 BM – Question 29

Engineering Mathematics · Probability and Statistics · 1 mark · Numerical answer

Gaussian noise has mean zero and standard deviation 1 mV. Find P(noise>2 mV or noise<−2 mV) as a percentage, nearest integer.

Show answer and explanation

Correct answer: 4 to 5

Explanation

Standardizing gives P(|Z|>2)=2[1−Φ(2)]. Using Φ(2)≈0.97725 gives probability 0.04550, or 4.55%. Rounded to the nearest integer percentage it is five.

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