Q.1 The magnitude of earthquakes recorded in a region of North America can be modeled ashaving an exponential distribution with mean 2.6. Find the probability that an earthquakestriking this region will (a) exceed 3.0; (b) fall between 2.0 and 3.0.

Given data: Exponential distribution with mean = 2.6

Answered: Q.1 The magnitude of earthquakes…

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

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch.) (a) At what psi ill the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is (Click to select) v psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended correct inflation range is 27 psi to 31 psi. Assume the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
2 The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 250 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.02? (Round your answer to two decimal places.) cfs
The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.
4 a. )Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
The time intervals between cars that successively pass a toll booth have an exponential distribution with a mean of 8 minutes. Find a time interval t in minutes such that we can be 95% sure that the time interval between two successive cars passing through the toll booth will be greater than t. Round to 2 decimal places
Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 1.97 days (note that times are measured continuously, not just in number of days). A random sample of 52 shipments are selected and their shipping times are observed. Approximate the probability that the average shipping time is less than 1.67 days. Enter your answer as a number accurate to 4 decimal places. Submit Question Chp -> % 7 8. 60 口 5 %24 %23 3m
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 28 psi (pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is (Click to select): psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended caorrect inflation range is 26 psi to 30 psi. Assume the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
In a certain year, the percent of persons (ages five and older) in each state who speak a language at home other than English was approximately exponentially distributed with a mean of 9.352. Suppose we randomly pick a state. Find the probability that the percent is less than 11. (Round your answer to four decimal places.)
The type of battery in Jim's laptop has a lifetime X (in years) which follows a Weibull distribution with parameters a = 2 and B = 4. The type of battery in Jim's tablet has a lifetime Y (in years) which follows an exponential distribution with parameter ) =1/4. Find E(XY 2Y). (Answer as a decimal number, and round to 2 decimal places).

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Q.1 The magnitude of earthquakes recorded in a region of North America can be modeled as having an exponential distribution with mean 2.6. Find the probability that an earthquake striking this region will (a) exceed 3.0; (b) fall between 2.0 and 3.0.