A service engineer receives on average an emergency call every 3 hours. If the time between calls follows an exponential distribution, calculate the probability that the time from one emergency call to the next is (a) greater than 3 hours (b) less than 4.5 hours

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
icon
Related questions
Topic Video
Question
. A service engineer receives on average an emergency the m_ne l_)elween breakdowns forparticular call every 3 hours. If the time between calls follows machine is an exponential distribution, calculate the probability (a) greater than 450 hours that the time from one emergency call to the next is (b) less than 350 hours (a) greater than 3 hours . (b) less than 4.5 hours The mean time taken by an engineer to repair an electrical fault in a system is 2.7 hours. Calculate the . The mean time between breakdowns for a certain type probability that the engineer will repair a fault in less of machine is 400 hours. Calculate the probability that than the mean time.
EXERCISES 29.13
the time between breakdowns for a particular
1 A service engineer receives on average an emergency
call every 3 hours. If the time between calls follows
an exponential distribution, calculate the probability
that the time from one emergency call to the next is
machine is
(a) greater than 450 hours
(b) less than 350 hours
(a) greater than 3 hours
3 The mean time taken by an engineer to repair an
(b) less than 4.5 hours
electrical fault in a system is 2.7 hours. Calculate the
probability that the engineer will repair a fault in less
than the mean time.
2 The mean time between breakdowns for a certain type
of machine is 400 hours. Calculate the probability that
Transcribed Image Text:EXERCISES 29.13 the time between breakdowns for a particular 1 A service engineer receives on average an emergency call every 3 hours. If the time between calls follows an exponential distribution, calculate the probability that the time from one emergency call to the next is machine is (a) greater than 450 hours (b) less than 350 hours (a) greater than 3 hours 3 The mean time taken by an engineer to repair an (b) less than 4.5 hours electrical fault in a system is 2.7 hours. Calculate the probability that the engineer will repair a fault in less than the mean time. 2 The mean time between breakdowns for a certain type of machine is 400 hours. Calculate the probability that
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage