3.38 Davis and Lawrance (1989) present time-to-failure data for 171 automobiletires. Baltazar-Aban and Pena (1995) modeled these data with an exponentialdistribution with a failure rate of 0.004 tire per hour.a. Find the probability that a randomly selected tire fails during the first100 hours of testing.b. Find the probability that a randomly selected tire fails between 50 and150 hours of testing.c. Find the probability that a randomly selected tire survives more than200 hours.d. Find the expected time to failure for a randomly selected tire.e. Find the variance and the standard deviation for the time to failure for arandomly selected tire.

The exponential distribution is often used to model the time to an event, such as failure in a…

Answered: 3.38 Davis and Lawrance (1989) present…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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17).
18 O 16 O 20 42 QUESTION 9 The service time for customers coming through a checkout counter has mean 50 seconds and standard deviation 6.8 seconds. Find the probability that the average service time for 64 passengers to get service will be between 48.4 and 51.6 seconds. O 0.0301 O 0.1897 0.9699 O 0.9399 QUESTION 10 A research worker wants to determine the average time it takes a mechanic to rotate the tires of a car, and she wants to be able to assert with 95% confidence that the mean of her sample is off by at most 0.3 minutes. If she can presume from past experience that the actual time follows normal distribution with a standard deviation of 1.5 minutes, how large the sample will she have to take? O 96 97 9. Save All Answers Click Save and Submit to save and submit. Click Save All Answers to save all answers. O O O O
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