Question 11The amount of time until the next earthquake in California is described by the following probabilityfunctionf(x) = {e-▼if x < 0ce-5 if x>0where c is a constant. Round all answers to three decimal places.a) Find the constant c.<b) Find the probability that the next earthquake occurs after 2.8 days.c) Given that 1 days has already passed, find the probability that the next earthquake occurs after anadditional 2.6 days.Submit Questiond) What is the expected time until the next earthquake in California?Q SearchCH

Suppose be the amount of time until the next earthquake in California is described by the following…

Answered: The amount of time until the next…

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

A group of people were asked if they had run a red light in the last year. 146 responded "yes", and 112 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places
At an Ingo Armenia call center, calls come in at an average rate of one call every 4 minutes. Assume that the time that elapses from one call to the next has the exponential distribution. Find the probability that the next call will arrive within 5 minutes after the first call.
A new customer enters a shop every 4.1 minutes, on average. After a customer arrives, find the probability that a new customer arrives in less than 5.28 minute. Only the final answer should be rounded off to TWO decimal places.
Rock noise in an underground mine occurs at an average rate of two per hour.a) Find the probability that at least one rock noise will be recorded for 15 minutes.b) Find the probability that the time until the next noise is after 20 minutes.c) From (a), determine the interval of time (in minute) such that the probability of the firstrock noise to occur is 0.9.d) The last noise detected was at 9.35 pm. It is now 9.55 pm. What is the probability thatthe next noise detected after 10.15 pm?
At a certain bank the amount of time that a customer spends being served by a teller is exponential with mean of 3 minutes. Find the probability that a cusotmer needs at least 5 minutes of service from a teller.
A certain disease has an incidence rate of 0.4%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
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 ..........
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
A certain disease has an incidence rate of 0.1%. If the false negative rate is 6% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
the probability of passing the course without studying is 0.2 if we assume that the given probability is constant in each semester, then how many times in an average the student should take the course to pass without studying
The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e-0.50x for x ≥ 0 What is the mean time between telephone calls? What is the probability of 30 seconds or less between telephone calls? What is the probability of 1 minute or less between telephone calls? What is the probability of 5 or more minutes without a telephone call?
At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.

SEE MORE QUESTIONS

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