Question: For the exponential distribution, the density function is f (x; ) = ex, >0, x>0. (a) Derive its mean and variance. (b) Derive its mode.

For the exponential distribution, the density function is f (x; θ) = θe−θx, θ>0, x>0.

(a) Derive its mean and variance.

(b) Derive its mode.

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