My Math Forum  

Go Back   My Math Forum > College Math Forum > Advanced Statistics

Advanced Statistics Advanced Probability and Statistics Math Forum

LinkBack Thread Tools Display Modes
April 23rd, 2017, 11:37 PM   #1
Joined: Apr 2017
From: India

Posts: 75
Thanks: 0

exponential distribution

Suppose that accidents occur in a large industrial plant at a rate of $\lambda$=1/10 per day. Suppose we begin observing the occurrence of these accidents at the starting of the work on Monday. Let X be the number of days until the first accident occurs. Then the distribution of X is:

F(x)= $1-e^{-x/10}$ for x$\ge$0
= 0 ,x$\lt$0

Now , the source I am referring says that : The probability that the first week is accident free is
P[X$\gt$5] = $e^{-5/10}$

Well my question is why is it not P[X$\gt$7]?As we are the finding the probability that the first week is accident free that means there should not be accident in the first week and hence my question.

Also , the probability that the first accident occurs on Wednesday of the second week is given as:


Why is it not calculated between 9 and 10?
shashank dwivedi is offline  
May 23rd, 2017, 01:20 AM   #2
Senior Member
Joined: Dec 2012
From: Hong Kong

Posts: 853
Thanks: 311

Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics
Can it be assumed that in India, industrial plants do not open on Saturdays and Sundays? If so, then I'm pretty sure the textbook writer had that in mind.
123qwerty is offline  

  My Math Forum > College Math Forum > Advanced Statistics

distribution, exponential

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Mgf of an exponential distribution Gamegeck Advanced Statistics 1 April 7th, 2017 04:49 PM
Exponential Distribution WWRtelescoping Probability and Statistics 1 April 26th, 2016 06:44 PM
Negative exponential distribution to the poisson distribution alan02011114 Advanced Statistics 0 April 21st, 2015 10:03 AM
Exponential distribution backtoreality15 Advanced Statistics 1 May 8th, 2009 07:17 AM

Copyright © 2019 My Math Forum. All rights reserved.