GATE CS 2026 Set 2 — Question 14
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Engineering Mathematics → Probability & Statistics → Continuous Distributions
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Question
The probability density function of a random variable which takes real values isWhich one of the following statements is correct about the random variable ?
Correct answer
(B) X is a normal random variable
Solution
The probability density function (PDF) of a normal distribution is given by:Comparing this with the given PDF:We can identify the parameters by inspection:
1. (from the coefficient )
2. (since the numerator in the exponent is , which is )
3. (which is consistent with the coefficient)
Since the given function matches the standard form of a normal distribution PDF, is a normal random variable.Continue learning with Success Tracker
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