GATE PI 2005 | Probability and Statistics Question 18 | 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

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

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

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

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

GATE PI 2005

MCQ (Single Correct Answer)

-0.3

Two dice are thrown simultaneously. The probability that the sum of numbers on both exceeds $$8$$ is

$${4 \over {36}}$$

$${7 \over {36}}$$

$${9 \over {36}}$$

$${10 \over {36}}$$

GATE PI Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

Simple Stress and Strain Shear Force and Bending Moment Complex Stresses Deflection of Beams Thin Cylinders Pure Bending

Theory of Machines

Analysis of Plane Mechanisms Flywheel

Engineering Mathematics

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

Machine Design

Design For Static Loading Design of Spur Gears

Fluid Mechanics

Fluid Kinematics Fluid Statics Laminar Flow Fluid Dynamics Turbulent Flow

Heat Transfer

Fin Design and Transient Heat Conduction Conduction Radiation Heat Exchangers

Thermodynamics

Entropy and Irreversibility

Casting

Casting Process

Joining of Materials

Welding

Metal Forming

Metal Forming Process Sheet Metal Forming Processes

Machine Tools and Machining

Metal Cutting Advance Machine Tools Machining

Metrology

Metrology and Inspection

Industrial Engineering

Inventory Control Line Balancing Queuing Forecasting Pert and Cpm