0.330.410,220.17 Suppose that the amount of time onespends in a bank is exponentially distributedwith mean 10 minutes.a. What is the probability that a customerwill spend more than 15 minutes in thebank?

Let X be the amount of time one spends in a bank follows exponentially distributed with mean of 10…

Answered: Suppose that the amount of time one…

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

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?
Suppose that on the average, 3 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that less than 1 student will have his automobile stolen during the current semester? Round your answer to four decimal places.
A professor sees students during regular office hours. Time spent with students follows an exponential dis- tribution with a mean of 10 minutes. Find the probability that a given student spends fewer than 20 minutes with the professor. Find the probability that a given student spends more than 5 minutes with the professor. Find the probability that a given student spends between 10 and 15 minutes with the professor.
The waiting time before service in a bank is exponentially distributed with a mean waiting time of 5 minutes.a. What is the median waiting time.b. You enter the bank and find that your friend has been waiting in the queue for service for past 2 minutes. Upon your arrival what is the probability that your friend will wait for another 4 minutes?c. What is the mean and variance of the waiting time in the bank?
Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage follows the exponential probability distribution. What is the probability that a randomly selected tire will have a tread-life between 30,000 and 50,000 miles?
Suppose that at a college, 55% of the students earn a degree at the end of four years and 27% earn a degree at the end of five years. What is the probability of earning a degree at the end of four or five years? Give your answer exactly as a decimal (not as a percent).
Find the probability that a driver with at least one collision in the past year is a middle aged adult driver.
Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. a. Find the probability that a light bulb lasts less than one year.b. Find the probability that a light bulb lasts between six and ten years.c. Seventy percent of all light bulbs last at least how long?d. A company decides to offer a warranty to give refunds to light bulbs whose lifetime is among the lowest two percent of all bulbs. To the nearest month, what should be the cutoff lifetime for the warranty to take place?e. If a light bulb has lasted seven years, what is the probability that it fails within the 8th year.
4. Laptops produced by a certain company last, on average, for 5 years. The life span of each laptop follows an exponential distribution. What is the probability that a laptop will last less than 3 years? b. What is the probability that a laptop will last more than 10 years? What is the probability that a laptop will last between 4 to 7 years?
The number of miles that a particular car can run before its battery wears out is exponentially distributed with a mean of 13885 miles. a. What is the probability that the car battery will be dead in less than 12797 miles?
The (hypothetical) table below showed the relationship between the number of hours students work at part-time jobs each week and the number of years it takes then to graduate with an undergraduate degree. If a student works more than 5 hours per week, what is the probability that the student graduates in over 6 years?

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

Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes. a. What is the probability that a customer