Allied & ICAR Exam Bank • ALLIED_1041 NAT • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Exponential distribution

Question Statement:

The time between failures of a hydraulic tractor pump follows an exponential distribution with failure rate $\lambda = 0.002\text{ hr}^{-1}$. The mean time between failures (MTBF in hours) is:

Answer Key:

500

Step-by-Step Solution & Explanation

For an exponential distribution, the mean (MTBF) is $\frac{1}{\lambda} = \frac{1}{0.002} = 500\text{ hours}$.
← Previous (ALLIED_1040) Next (ALLIED_1042) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test