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GATE 2018 CE (CE2) – Question 12

Engineering Mathematics · Probability and Statistics: Random variables, Poisson and Normal distributions, linear regression · 1 mark · Multiple choice

The graph shows f(x). For it to be a valid probability density function, h must be ______.

Diagram for GATE 2018 CE (CE2) question 12
  1. 1/3
  2. 2/3
  3. 1
  4. 3

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Show answer and explanation

Correct answer: (A) 1/3

Explanation

The three triangular areas total $(h+2h+3h)/2=3h$. A probability density integrates to 1, hence $h=1/3$ (A).