question archive 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 xzoosyiuFX,Y(xJ}’) = 1 — e": x E [Ly :> 10 otherwise (a) Find the marginal edf of X and Y
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 xzoosyiuFX,Y(xJ}’) = 1 — e": x E [Ly :> 10 otherwise (a) Find the marginal edf of X and Y
Subject:Electrical EngineeringPrice: Bought3
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 xzoosyiuFX,Y(xJ}’) = 1 — e": x E [Ly :> 10 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 andthe battery can work for at most half a year. (d) Find the probability that both the laptop and its battery stop working betweenhalf a year and 1 year (e) Find the joint density function of the lifetimes of the laptop and its battery.
