Week5

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Unformatted text preview: f — — g† f –†j– g†‘‡q g z f z — ’ n g „‰ “‰ ˆ – g ˆ f† ’ ’ l„† w w u — „‰„ ‰ g z ’ – – l’l – ‚Bi‰¡d˜¢BY}˜‰i”pk‰™fˆ¡…„B…o‡%ˆY™jx xD•’V–•’V“•z™gr¯lmBrƒds˜’d”†qr•€ •‰¤‰me…„•’ŒV˜’ [email protected][email protected]eV‹žr˜€„ˆ~’B…–™’kfŒ™o˜—e‘‘r„Å g ’ — — –† – — „ z„  „ –‹ —l ’ – f‹ n z ’ – ‰ ’ — “  ’„ w ’ — g† ’ g† – f f z r•†•g”“d¯oV…’™zŒo d›™f…fcˆ d%j •’p†rV‹zˆ”†t˜‰– g‹ g ˆ f ‰ ’– f ˆ‰„¢ –† – g – ‰ — f f ’ — – g f ’ ec”pk‰™fˆ† ˆ¦dr”l™’‚prŒ”pe•€u˜‰eVjy ˆ† d”Š–‚™nk—ƒ¬–…k’xe˜€– gÿ•n…“˜’‚i–d†xr•€¬–s ¡ pX FX xk FX pX (xk ) = F (xk ) − FX x− k j ›„d™‰—˜V–zd††“˜mqei‹gi’™r‘‚kn—˜Dcþ – f g‡ wý wü limx→∞ FX (x) = 1 limx→−∞ FX (x) = 0 x↓y FX x+ := lim FX (x) = FX (y ) y†dr„ d‰ B™‰cQ™„dF‘‡k–rŒk„•—BBV‰•z™gr{Že‘‹Æ –‰ “ “  – —‰‘ —‹ –„ —l ‘ n †Žg‚Š–t”“’r˜€…–r‚™ˆs ‡˜”“d”ouB™‰—™jd’ «wYj«m‰Šû~ª¼e¬ùøp˜§†¼•Œpee¬¨¾ªeˆ†§g— ›d™–˜—g — — ’€ ’ ’ “ w — ©ù ú © Ã Ä ®­§­ ©¨ ¦ j„ †„ˆ¤B”†•’‘–e™„——j [email protected]|Vrqr€•‡™„— @”l˜’e¦r™‡kf•—ˆ††˜“k–r•qˆv†cs…’ek„— œ w ÷ ‰ l g  „ —„ ’l ’ – † g‹ y “ — “ s ’ˆ z •‰0fˆeQ”¸D‘‡Š–rŒ™„˜—Qd…‰˜zgm{‚r‘‹„‚d%€ – †‹ ’ —‹ –„ —l ‘ n Æ † g† Š–D˜’”“r€‚§j — ’ˆ –† – z ˆe€˜}†€e˜‹gj •gQk„—B%‘upum”‘V’rV˜iQd•†i–ed…‰i™g— – ‰ –† – z ’ –„ g„ z wö – g† ’l„‰„ ek„˜—d‰˜’…“”zmeBr‚g— wõ wº ° g – g ’ “† ’‘ “‘ B…’˜’‚•‰t˜‡d”†••’ˆ‚”g™’˜—˜–…“Fd•‰r#…ˆ™’ š FX FX FX x ≤ xj pX (xj ) FX (x) < pX (xj ) > 0 FX (x) 0 ≤ FX (x) ≤ 1 xj ≤xk l„† eˆ%j p X ( xj ) x1 < x 2 < . . . < x n xk ≤ x < x k j FX (x) = ”gr™‹ˆpxr•€DB‰ ”gBˆ•†– ŠŒd™‡•fˆ”†™’f ô ’ f†o ’ – „ ’¢ —j “ X FX (x) = P [X ≤ x] g† ’„ ’l — l„† ’„ z„‹· „ –‹ —  ’ – l f z ’ ’ n g f† — dq”lre…|m”gD%ˆe~jŒd™‰˜—V–ereBk‰•—mr™q˜—•“‘–g„ióƒr•€‰k’™fˆ”†‚”g‚™n˜—V–‚Bi‰‚i‰gˆƒ™g— gr€  ð éèò ð ä ñ ð è ä é é ë â éè æ ä å ä ã â á Þ Þ Fva§§Ÿ%«ï”é§aví…è«ìsžF™ê‰mvça£au£aià vßFvß›Ý g•™’r‚ˆr…˜•‚™n˜—exr€ —w — f n† ’ ’ “‘ ’  g† „ –† “  dd™‰˜—pt•nd™‰m™„— ’‚d˜†r˜€£•‡˜“d…†8†€zr...
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This document was uploaded on 03/08/2014 for the course MATH 394 at University of Washington.

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