A tire manufacturer warranties its tires to last at least 20198 miles or "you get a new set of tires." In its experience, a set of these tires lasts on average 26198 miles with standard deviation 5132 miles. Assume that the wear is normally distributed. The manufacturer profits Rs. 200 on each set sold, and replacing a set costs the manufacturer Rs. 400. What is the probability that a set of tires wears out before What is the probability that a set of tires wears out before 20198 miles? 24198 miles and after 20198 miles? What is tbe cutoff value in terms of mniles of the ton 66% wearing out tires

A tire manufacturer warranties its tires to last at least 20198 miles or "you get a new set of tires." In its experience, a set of these tires lasts on average 26198 miles with standard deviation 5132 miles. Assume that the wear is normally distributed. The manufacturer profits Rs. 200 on each set sold, and replacing a set costs the manufacturer Rs. 400. What is the probability that a set of tires wears out before What is the probability that a set of tires wears out before 20198 miles? 24198 miles and after 20198 miles? What is tbe cutoff value in terms of mniles of the ton 66% wearing out tires

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 average age of the JYP employees is known to be 32 years and the standard deviation is 5 years. Find the probability that a random sample of 36 employees will have an average age of less than 30 years. What is the probability of 36 employees who have an average age of less than 30 years?
The 3-point shooter star of your favourite team usually attempts twelve 3-point shots in a basketball game. The team record shows that the shooter makes 45% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 2 standard deviation more than the expected?
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 20 days. If 64 women are randomly selected find the probability that they have a mean pregnancy between 266 days and 268 days
1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.
A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
A librarian wants to estimate the average number of book a patron will checkout over a years time. She believes from past studies the standard deviation is20 books per year. If she samples 100 patrons, with what probability can sheassert than the error in her estimate will be less than 5 books per year? (
In each trial of a certain random experiment the probability of a success is equal to 0.2. Find the number n of independent trials that should be conducted if the mean of the distribution of the number of successes in the n trials is to be equal to its standard deviation.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =
The length of human pregnancies from conception to birth is approximately Normal with a mean length of 266 days and a standard deviation of 16 days. What is the probability that the average pregnancy length for 7 randomly chosen women exceeds 270 days?
A technician can service an air conditioner in an average of one hour and fifteen minutes with a standard deviation of 20 minutes. (Assume the time is normally distributed). What is the probability that the technician can fix ten air conditioners in less than twelve hours?