question archive 1 Two components of a minicomputer have the following joint probability density function for their useful lifetimes X and Y(a) What is the probability that the lifetime X of the rst component exceeds 3? (b) What are the marginal probability density functions of X and Y ? (c) Are X and Y independent and why? (d) Determine the joint distribution functions F(a; b) of X and Y

1 Two components of a minicomputer have the following joint probability density function for their useful lifetimes X and Y(a) What is the probability that the lifetime X of the rst component exceeds 3? (b) What are the marginal probability density functions of X and Y ? (c) Are X and Y independent and why? (d) Determine the joint distribution functions F(a; b) of X and Y

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1 Two components of a minicomputer have the following joint probability density function for their useful lifetimes X and Y(a) What is the probability that the lifetime X of the rst component exceeds 3?
(b) What are the marginal probability density functions of X and Y ?
(c) Are X and Y independent and why?
(d) Determine the joint distribution functions F(a; b) of X and Y . Your answer should be a piecewise function.

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