mont4e_sm_ch05_sec06

25 075 f y y f x y if p 025 5 69 a b fy 3

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Unformatted text preview: Z < -0.82) = 0.206. 0.1225 Section 5-6 5-67 5-68 f Y ( y) = 1 4 at y = 3, 5, 7, 9 from equation 5-40. Because X ≥ 0 , the transformation is one-to-one; that is ( )p (1 − p) ( y ) = ( )(0.25) (0.75) f Y ( y) = f X ( y ) = If p = 0.25, 5-69 a) b) fY 3− y y y 3 y and x= y . From equation 5-40, for y = 0, 1, 4, 9. 3− y y for y = 0, 1, 4, 9. ⎛ y − 10 ⎞⎛ 1 ⎞ y − 10 fY ( y ) = f X ⎜ for 10 ≤ y ≤ 22 ⎟⎜ ⎟ = 72 ⎝ 2 ⎠⎝ 2 ⎠ 22 2 y − 10 y 1 y 3 10 y 2 22 E (Y ) = ∫ dy = −2 = 18 10 72 72 3 10 ( y 5-70 3 y = x2 Because y...
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