A certain explosive device will detonate if any one of n short-lived fuses lasts longer than .8 seconds. Let X, represent the life of the ith fuse. It can be assumed that each X, is uniformly distributed over the interval 0 to I second. Furthermore, it can be assumed that the X,'s are independent. (a) How many fuses are needed (i.e., how large should n be) if one wants to be 95 percent certain that the device will detonate? (b) If the device has nine fuses, what is the average life of the fuse that lasts the longest? .

A certain explosive device will detonate if any one of n short-lived fuses lasts longer than .8 seconds. Let X, represent the life of the ith fuse. It can be assumed that each X, is uniformly distributed over the interval 0 to I second. Furthermore, it can be assumed that the X,'s are independent. (a) How many fuses are needed (i.e., how large should n be) if one wants to be 95 percent certain that the device will detonate? (b) If the device has nine fuses, what is the average life of the fuse that lasts the longest? .

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...

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