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Q6 You have two machines. Machine 1 has a lifetime Tị which is exponentially distributed with parameter A1, and Machine 2 has a lifetime T, which is exponentially distributed with parameter A, and is independent of T1. Machine 1 starts at time 0, and Machine 2 starts at a time T > 0. Q6(i.) Assume that T is deterministic. Compute the probability that Machine 1 is the first to fail. Q6(ii.) Answer the same question when T is exponentially distributed with parameter µ and is independent of T1 and T2.

Q6 You have two machines. Machine 1 has a lifetime Tị which is exponentially distributed with parameter A1, and Machine 2 has a lifetime T, which is exponentially distributed with parameter A, and is independent of T1. Machine 1 starts at time 0, and Machine 2 starts at a time T > 0. Q6(i.) Assume that T is deterministic. Compute the probability that Machine 1 is the first to fail. Q6(ii.) Answer the same question when T is exponentially distributed with parameter µ and is independent of T1 and T2.

MATLAB: An Introduction with Applications
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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Q6 You have two machines. Machine 1 has a lifetime T which is exponentially distributed with parameter d1, and Machine 2 has a lifetime T, which is exponentially distributed with parameter A, and is independent of T1. Machine 1 starts at time 0, and Machine 2 starts at a time T > 0. Q6(i.) Assume that T is deterministic. Compute the probability that Machine 1 is the first to fail. Q6(ii.) Answer the same question when T is exponentially distributed with parameter u and is independent of T1 and T,.
Transcribed Image Text:Q6 You have two machines. Machine 1 has a lifetime T which is exponentially distributed with parameter d1, and Machine 2 has a lifetime T, which is exponentially distributed with parameter A, and is independent of T1. Machine 1 starts at time 0, and Machine 2 starts at a time T > 0. Q6(i.) Assume that T is deterministic. Compute the probability that Machine 1 is the first to fail. Q6(ii.) Answer the same question when T is exponentially distributed with parameter u and is independent of T1 and T,.
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