Answered: The return period of very severe sea…

The return period of very severe sea storms resulting in structural failures in a ship is assumed to be 100,000 hours of sailing. Find the probability that a ship will not be damaged in 20,000 hours

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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Question

100%

The return period of very severe sea storms resulting in structural failures in a ship is
assumed to be 100,000 hours of sailing. Find the probability that a ship will not be
damaged in 20,000 hours

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Expert Solution

Step 1

Obtain the probability that a ship will not be damaged in 20,000 hours.

The probability that a ship will not be damaged in 20,000 hours is obtained below as follows:

From the information, given that the failures in a ship is assumed to be 100,000 hours of sailing.

Let X be the failure time in a ship which follows exponential distribution with the mean of 100,000 hours.

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