Question 1: The amount of time until an accident occurs at an industrial facility follows an exponential distribution with mean 40 days. a) What is the probability that the next accident occurs between 50 and 100 days? b) What is the probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations? c) Suppose it has been at least 30 days with no accidents. What is the probability that it will be at least 80 days until an accident occurs?

Question 1: The amount of time until an accident occurs at an industrial facility follows an exponential distribution with mean 40 days. a) What is the probability that the next accident occurs between 50 and 100 days? b) What is the probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations? c) Suppose it has been at least 30 days with no accidents. What is the probability that it will be at least 80 days until an accident occurs?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

2) Suppose that the number of miles that a car càn run before its battery wears out is exponentially distributed with an average value of 10,000 miles. If a person desires to take a 5000-mile trip, what is the probability that he or she will be able to complete the trip without having to replace the car battery? What can be said when the distribution is not exponential?
Question 6 > 92% of the largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 44 such intitutions, and let X be the number of intítutions that offer distance learning courses. a. What is the distribution of X? X - ? D Please show the following answers to 4 decimal places. b. What is the probability that exactly 37 intitutions in this study offer distance learning courses? c. What is the probability that at least 37 intitutions in this study offer distance learning courses? d. What is the probability that at most 37 intitutions in this study offer distance learning courses? e. What is the probability that between 35 and 42 (including 35 and 42) intitutions in this study offer distance learning courses? Check Answer
Practice Question 3: Suppose the time to do a health check (X) is exponentially distributed with an average of 20 minutes. a) What is the parameter of this exponential distribution (2)? b) What is the probability that a health check can be done in less than 15 minutes? c) What is the probability that a health check can be done in more than 25 minutes? d) What is the probability that a health check can be done in between 15 and 25 minutes? e) A health check already took 20 minutes, what is the probability that the health check can be done in less than 30 minutes?
The lifetime (in years) of a specific helicopter part follows an exponential distribution whoseexpectation is 4 years.(a) What is the probability that one of these parts will stay operational for more than 4.4 years?(b) What is the probability that one of these parts will stay operational between 2.5 and 4 years.
2. Refers to the probability distribution that is used to define the time between two successive events that occur independently and continuously at a constant average rate.
The life of a certain type of device has an exponentially distributed failure with rate .008 per day. a) What is the mean time to failure? b) What is the probability that 200 days will pass before a failure is observed? c) What is the probability that 4 of the next 6 failures observed will occur after 200 days have passed? d) What is the probability that at most 3 failures will occur in 200 days?
Solve step by step in digitl format At the General Hospital Dr. Manuel Gea González, of the Ministry of Health, it is recorded that, on average, an ambulance arrives every ten minutes. Assuming an exponential distribution, determine:a) What is the probability that the next ambulance will arrive in 15 minutes or less?b) What is the probability that the next ambulance will arrive in more than 25 minutes?c) What is the probability that the next ambulance will arrive in more than 15 minutes, but less than 25?
4. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. What is the probability that there are no calls within a 30- minute interval?
The time (in hours) until the next emergency arrival at a hospital follows an exponential distribution with a mean of 2.1 What is the probability that exactly 4 emergencies arrive in the next ten hours? (Assume arrival times are independent of each other.) What is the probability that at least four emergencies arrive within the next 10 hours?
The time until the graduates of a department find their first jobs after graduation follows an Exponential distribution with mean 10 months. The probability that a graduate of this department will not be able to find a job in 1.5 years is ..........
It should be stated that the battery of a pos device has an exponential distribution with an average life span of five years in standard use. What is the probability that a user who uses a Pos device for 3 years without a battery problem will encounter a battery problem in the next year?
Practice Question 3: Suppose the time to do a health check (X) is exponentially distributed with an average of 20 minutes. a) What is the parameter of this exponential distribution (2)? b) What is the probability that a health check can be done in less than 15 minutes? c) What is the probability that a health check can be done in more than 25 minutes? d) What is the probability that a health check can be done in between 15 and 25 minutes? e) A health check already took 20 minutes, what is the probability that the health check can be done in less than 30 minutes?