On average, based on past records, a Forklift will have a failure rate once every 7000 hours of drive time.Mechanical failure of Forklifts constitutes a Poisson process.(a) If a Forklift is scheduled for inspection and maintenance after every 2500 drive hours, what is theprobability of mechanical failure of a Forklift between inspections?(b) In a fleet of 20 Forklifts of the same type, what is the probability that not more than two (S 2) will havemechanical failure within the above scheduled inspection/maintenance interval? Assume that failurebetween Forklifts is statistically independent.

Answered: Image /qna-images/answer/df86a1f4-e6e7-4e5f-aa34-9e327c6fa1f4.jpg

Answered: On average, based on past records, a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals. Based on data collected, no vehicles arrived in 18 of the 120 count intervals. What is the number of the 120 intervals that 3 cars arrived?
2
A new automated production process has been averaging 2 breakdowns per day (assume 8 hours of operation per day) . What is the probability that the process can run a full 8-hour shift without a breakdown?
Roll two dice and observe the numbers coming up. Define two events by: A="the sum is six," and B-"the numbers are not equal." Find and compare P(B) and P(BIA).
The annual rainfall (in inches) in a certain region is normally distributed with mean = 40 and o=4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? What assumption are you making?
In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty seconds. What is the probability that more than five errors will occur during the next minute?
5. A new type of car tires is released on the market with rate of tire cracking: on average one crack every 2000km. (a) What is the probability that a randomly chosen tire will cover a distance of 500km without a single crack? (b) How many tires are expected to have two ore more cracks within a distance of 500km?
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or 0.75 customers per minute. Determine the following operating characteristics for the system. (Round your answers to four decimal places.) (a) The probability that no customers are in the system 1353 (b) The average number of customers waiting 1786 (c) The average number of customers in the system 1.25 (d) The average time (in min) a customer spends waiting 4.2 X min (e) The average time (in min) a customer spends in the system x min 1 (f) The probability that arriving customers will have to wait for service 73 X
A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 15 adults are randomly selected, find the probability that at least 14 of them need correction for their eyesight. Is 14 a significantly high number of adults requiring eyesight correction? The probability that at least 14 of the 15 adults require eyesight correction is nothing. (Round to three decimal places as needed.)
Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2. What is the probability that there will be (a) at most 2 such accidents in the next month? (b) less than 6 such accidents in the next 3 months? (c) exactly 5 such accidents in the next 4 months?
A department store warehouse receives a shipment of 75 new laptop computers, 5 of which are defective. The quality control procedures at the warehouse include selecting 10 of the computers at random for testing and rejects the entire shipment if one or more of the them is found to be defective. To two decimal places, what is the probability that the shipment will be rejected?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS