Q3. An actuary models the lifetime of a device using the random variable \( Y=8 X+5 \), where \( X \) is an exponential random varibales with mean 2 years. Determine the probability density function \( f(y) \) of the random variable \( Y \) for \( y \geq 5 \).
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Given that \( Y = 8X + 5 \), where \( X \) is an exponential random variable. We need to find the probability density function (PDF) of \( Y \). Show more…
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