GATE EE 2022 Set 1 — Question 54
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Engineering Mathematics → Probability → PMF, PDF & CDF
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Question
Let the probability density function of a random variable be given as . The value of 'a' is __________.
Correct answer
0.99 to 1.01
Solution
The probability density function (PDF) must satisfy the normalization condition:Given , we have:Since is an even function, we can simplify the integral:Thus, the value of is 1.
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