P0108_Soln - P0108_Soln.doc X boil20) ~ n a 5. i m ,4 (...

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Unformatted text preview: P0108_Soln.doc X boil20) ~ n a 5. i m ,4 ( Recall that for binomial RV… EX= p n V [ ] nq a X=p r Thus, E ] n=0 X [ =p 1 V n = aX p 6 r =q S e[ ] 6 t vX= d Recall that… Xb mn)Y NteX ~n il , ≈~( X d ioa p E, v ) S ( P X ) P 0<< 0 a <b( 5 − + 5 ( < ≈ a . Yb .) Thus, X b oi ln ) Y N0 6 ~i m(, ≈ ~ 1 nap , P< <) P5Y1 ) 9 1≈ 8 . 1 5 ( X 1 ( <<. () P < 1 )P<.)P< ) 8 <. . 5 5 (1 5( . 5 ( Y 1 =Y 1 −Y8 Subtract mean and divide by standard deviation to get standard normal RV… 1. −0 8 −0 1 1 5 . 1 5 P . < <1 ) P < 8 5 Z − Z ( 5 Y 1. = P< 6 6 P < 1 )P< 1)P<.1) 8 <. . 5 5 (04 (− 4 6 6 ( Y 1 =Z . 2−Z 0 2 P < 1 )Φ1)Φ64 8 <. . 5 5 ( 4 (. 2 . 6 0 ( Y 1 =0 2−−1) Use standard normal CDF table (B&T pg 155), P5Y1 )Φ1)( Φ1) 8 . 1 5 0 2−− 0 2) . . ( <<. =(64 1 (64 P < 1 )0 9 ( 0 9 0 9 8 <. . 5 5 . 11 71 . 8 7 − ( Y 1 = 2− .2 = 5 )4 ...
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This note was uploaded on 02/01/2011 for the course BME 335 taught by Professor Dunn during the Spring '10 term at University of Texas at Austin.

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