GATE PI 2005 | Probability and Statistics Question 19 | Engineering Mathematics

GATE PI 2005

MCQ (Single Correct Answer)

-0.3

The life of a bulb (in hours) is a random variable with an exponential distribution $$\,\,f\left( t \right) = \alpha {e^{ - \alpha t}},0 \le t \le \infty .\,\,\,$$ The probability that its value lies $$b/w$$ $$100$$ and $$200$$ hours is

$$\,{e^{ - 100\alpha }} - {e^{ - 200\alpha }}$$

$${e^{ - 100}} - {e^{ - 200}}$$

$$\,{e^{ - 100\alpha }} + {e^{ - 200\alpha }}$$

$${e^{ - 100}} + {e^{ - 200}}$$

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Engineering Mathematics

Transform Theory Complex Variable Vector Calculus Numerical Methods Probability and Statistics Calculus Linear Algebra Differential Equations

Machine Design

Design For Static Loading Design of Spur Gears

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Flywheel Analysis of Plane Mechanisms

Heat Transfer

Conduction Radiation Fin Design and Transient Heat Conduction Heat Exchangers

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