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GATE CS 2025 Set 1 — Question 58

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NAT+2 / -0EasyContinuous DistributionsProbability & StatisticsEngineering Mathematics

Engineering Mathematics → Probability & Statistics → Continuous Distributions

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Question

Consider a probability distribution given by the density function P(x)P(x).P(x)={Cx2,for 1≤x≤40,for x<1 or x>4P(x) = \begin{cases} Cx^2, & \text{for } 1 \leq x \leq 4 \\ 0, & \text{for } x < 1 \text{ or } x > 4 \end{cases}The probability that xx lies between 22 and 33, i.e., P(2≤x≤3)P(2 \leq x \leq 3) is __________. (rounded off to three decimal places)
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