Let X represent the lifetime of a component, in weeks. Let Y represent the lifetime of the component in days, so Y = 7X. Suppose X ~ Exp(1). Let Fy be the cumulative distribution function of Y and let Fy be the cumulative distribution function of X. Show that Fy(y) = 1 e¯e-Ày/7. [Hint: F,(y) = P(Y < y) = P(7X

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