Question: Considertheexponential pdf f(y; ) = ey and cdf F(y; ) = 1 ey, for y 0. (a) Findthemedian. (b) Findthelowerquartileandtheupperquartile. (c) Find

Considertheexponential pdf f(y; λ) = λe−λy and cdf F(y; λ) = 1 − e−λy, for y ≥ 0.

(a) Findthemedian.

(b) Findthelowerquartileandtheupperquartile.

(c) Find μ byshowingthatitequals 1~λ times theintegralofagamma pdf. Explainwhy μ

is greaterthanthemedian.

(d) Find σ byfinding E(Y 2) using agamma pdf and usingexpression(2.3).

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