GATE CE 2018 Set 2 — Question 12
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Engineering Mathematics → Probability → PMF, PDF & CDF
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Question
The graph of a function is shown in the figure.
For to be a valid probability density function, the value of is
Correct answer
(A) 1/3
Solution
For to be a valid probability density function, the total area under the curve must be equal to 1.
Area = .
The area consists of three triangles:
Setting Total Area = 1: .
Area = .
The area consists of three triangles:
1.Triangle from to with height : Area
2.Triangle from to with height : Area
3.Triangle from to with height : Area
Total Area = .Setting Total Area = 1: .
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