4-145. + The time between arrivals of customers at an auto-matic teller machine is an exponential random variable with amean of five minutes.(a) What is the probability that more than three customersarrive in 10 minutes?(b) What is the probability that the time until the fifth customerarrives is less than 15 minutes?

A.) expected number of customer in 10 minutes =10/5 =2 therefore from Poisson distribution:…

Answered: 4-145. + The time between arrivals of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

11. At a particular lake 4% of the fish have a disease which causes food poisoning. You go to the lake one day and catch 6 fish. Assume each fish in the lake has an equal chance of being caught. You eat all the fish you catch. What is the probability you get food poisoning? (a) 0.204 (b) 0.217 (c) 0.229 (d) 0.242
56.6
A bag contains 2 red balls worth £3, 2 blue balls worth £2 and 5 green balls worth £0. You pick 1 ball out of the bag (without replacement). What the expected value of earnings from playing this game once (3 decimal places).
The probability that a randomly selected 5-year-old male chipmunk will live to be 6 years old is 0.97008. (a) What is the probability that two randomly selected 5-year-old male chipmunks will live to be 6 years old?
The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 47 75 No 252 601 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.Probability =
In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c) Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours
A bus arrives every 25 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. (a) What is the probability that the individual waits more than 11 minutes? (b) What is the probability that the individual waits between 6 and 11 minutes? (a) The probability is. (Simplify your answer.)

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS