5. A pressure transducer regulates a climate control system in a factory. Thetransducer fails according to an exponential distribution with rate one failureevery five years on average.a. What is the cumulative distribution function of the time until failure?b. What is the probability that a transducer chosen at random functions for eightyears without failure?754 Chapter Thirteen Reliability and Maintainabilityc. What is the probability that a transducer that has functioned for eight years con-tinues to function for another eight years?6. For the pressure transducer mentioned in Problem 5, use the failure rate functionto estimate the likelihood that a transducer that has been operating for six yearsfails in the seventh year. How close is the approximation to the exact answer?

Answered: Image /qna-images/answer/90488a8c-bb6b-45aa-8af2-17835921269c.jpg

Answered: 5. A pressure transducer regulates 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

The following graph plots the fitted probabilities of default (y axis) depending on the credit balance (x axis) with the linear probability model (left) and the logistic model (right). Which alternative is NOT correct 500 1000 1500 2000 2500 500 1000 1500 2000 2500 Balance Balance O a. There will always be a balance level such that the probability of default according to the linear probability model is above 100% O b. The logit model supposes that the error term of the latent variable follows a logistic distribution O C. The linear probability model estimates probabilities of default below 0% Od. The probability of default lower than 50% is a frequent feature of linear probability models e. The logistic model estimates probabilities between 0% and 100% 00 80 90 YO 0 Probability of Default R'O 90 o zo o'o Probability of Default
Tom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 15 seconds. Suppose Jerry needs 12 seconds to get across the house, and starts immediately after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught? Next 1 Previous
Exponential distribution is used to predict how long it will take for an event to occur in the future. For example: the time between two customers coming to a bank, the time until an equipment breaks down, or how long after the next Istanbul earthquake will occur. The average time between two phones coming to a workplace corresponds to an exponential distribution of 15 minutes. What is the probability that the first call will arrive within 5 to 8 minutes after the workplace opens on Monday morning? (Guidance: Investigate the relationship between the exponential distribution and the Poisson distribution.)
The time (in years) after reaching age 60 that it takes an individual to retire is approximately exponentially distributed with a mean of about 6 years. Suppose we randomly pick one retired individual. We are interested in the time after age 60 to retirement. Find the probability that the person retired after age 70. (Round your answer to four decimal places.) In a room of 1,000 people over age 82, how many do you expect will NOT have retired yet? (Round your answer to the nearest whole number.) ch5#4
Part 1 only solve asap please
4. When the Titanic sank in 1912, there were over 1,300 passengers aboard. A random sample of 50 passengers that were aboard is taken. The amount they paid for the voyage and whether or not they survived is recorded. A model is fit to predict the probability they survived when the ship sank is obtained. Survived Logistic Fit of Survived By Fare 1.00 0.75 0.50- 0.25- 50 4 Parameter Estimates 100 Term Intercept -1.404254 0.4353289 Fare 0.01246686 0.0097945 For log odds of Yes/No Fare Estimate Std Error ChiSquare 10.41 1.62 150 200 Prob> ChiSq 0.0013 0.2031 No Yes a) Suppose someone paid a fare of 25 pounds. Predict the probability they survived. b) How much would someone pay to have at least a 65% chance of survival?
When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 20 minutes. Assume that each caller orders one ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction? Round your answer to 4 decimal places. i
Question 1. Exponential Probability Distributions ( (Exercise 6.29) The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. a. Sketch this exponential probability distribution. b. What is the probability that the arrival time between vehicles is 12 seconds or less? c. What is the probability that the arrival time between vehicles is 6 seconds or less? d. What is the probability of 30 or more seconds between vehicle arrivals?
A , B and C
In a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1300, a 50% chance that they will increase by 400, and a 30% chance they will decrease by 900. Find the expected change in the number of electronics jobs in that city in the next year. The expected change is an increase of __________ jobs.
Show work for every step. Two types of customers (Preferred and Regular) call a service center. Preferred customers call with rate 3 per hour, and Regular customers call with rate 5 per hour. The interarrival times of the calls for each customer type are exponentially distributed. If the call center opens at 8:00 AM, what is the probability that the first call (regardless of customers type who calls) is received before 8:15 AM?
Customers arrive at a carwash on average once every 60 minutes. It seems likely that customer arrivals follow an exponential distribution. For each of these random numbers, calculate the simulated time between arrivals at the carwash. (Round your answers to the nearest whole number.) Random Number Time Between Arrivals 089 02 0.53

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