P0107_Soln - P0107_Soln.doc X boil20) ~ n a 5. i m ,4 (...

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Unformatted text preview: P0107_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 ) 7 1≈ 6 . 2 5 ( X 2 ( <<. () P < 1 )P<.)P< ) 6 <. . 5 5 (1 5( . 5 ( Y 2 =Y 2 −Y6 Subtract mean and divide by standard deviation to get standard normal RV… 1. −0 6 −0 2 1 5 . 1 5 P . < <2 ) P < 6 5 Z − Z ( 5 Y 1. = P< 6 6 P < 1 )P< 2 P<.2 6 <. . 5 5 ( 1 ) Z1 ) 0− 4 ( Y 2 =Z . 1 ( − 9 P <<.)Φ 1Φ4) 6 . 5 2 5 (2 . −− 9 0 1 ( Y1 =1 ) (.2 Use standard normal CDF table (B&T pg 155), P5Y1 )Φ2−−( 2) 6 . 2 5 1 )1 1 ) . 0 . 4 ( <<. =( 1 ( Φ 9 P < 1 )0 6 ( 0 2= 6 6 <. . 5 5 . 11 92 . 3 8 − 7 ( Y 2 = 4− .2)0 8 ...
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