Considertheexponential pdf f(y; ) = ey and cdf F(y; ) = 1 ey, for y
Question:
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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Authors: Alan Agresti
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