# The lifetime (measured in years) of a laptop and its battery

Question # 00514906 Posted By: Prof.Longines Updated on: 04/20/2017 07:36 AM Due on: 04/20/2017
Subject Engineering Topic General Engineering Tutorials:
Question
The lifetime (measured in years) of a laptop and its battery are respectively denoted as X and Y with the joint cdf:
y-rs‘x xzoosyiu
FX,Y(xJ}’) = 1 — e&quot;: x E [Ly :&gt; 1
0 otherwise (a) Find the marginal edf of X and Y. (b) Are X and 1’ independent? Justify your answer. (c) Find the probability thlt the life time of the laptop is no more than 1 year and
the battery can work for at most half a year. (d) Find the probability that both the laptop and its battery stop working between
half a year and 1 year (e) Find the joint density function of the lifetimes of the laptop and its battery.
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1. ## Solution: The lifetime (measured in years) of a laptop and its battery

Tutorial # 00511752 Posted By: Prof.Longines Posted on: 04/20/2017 07:37 AM
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