Question

Please explain part 3 well. what was done to get probability of male ? explain clearly and fully please

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Test - Summer 2015 - Question 1 C UTSC) the Search Caps (UTS The sho w Se for the follow PUTSCM) t he PUT P UTS PUTSCH PCUMAF) = f(b) f(F )-3306)- 0.18 AVTSGAM) = ) ) - (0.5 ) - 0225 PLUSCAM) RUSCO PUMILSO) -(0.2)60.3-0.06 PLUSCAF) - (Usc) A Flu )-(02)(0%) 0.14 2. Solve for the following condition probabilities: PUTM Male). PUTS The 2) PCM) - PMIUM) MIUM AC POMIGUU = (-0.3) Con X03) FOSYOSH 0 .2*30D Plus61) PFLUGM ) Puls6A86). Vy lus ) 656X0.5/7/XDD) +leer) - WC SMC = (OSS)os Y SOY 2. She the PMP DRAUGU.050 PUIS 0.2% Dashboard Calendar To Do Notifications Inbox Test - Summer 2018 - Question 1 Students at the University of Toronto an attender the Camp (UTSC) the Scarboroch Camp (UTSC). The share of been sperately and the magna ac tional Cam t (UTM the St. George h e there 1. Salve for the following it probabilities P(UTMFemale). PUTSGae). PUTSC PUTSC Male) ), D PLUIMF) = RUOPIFI )-(0.3)(06) 0.18 PUISGM) = Musso) (RIV) - (0.5)45) - 0.225 PLUSCAM) - ACUSCO MUSSC)-(0.2)(0.3)= 0.06 PUSCAF) = f(us) AFIUTC) -(02)(0) 0.14 2. Solve for the following conditional probabilities: PUTM|Male). PLUTSGFemale) (hint: Bayes The or ) 2) PUMA) = PMIUM POTU VIUM) )+ PM TUDOM POSUS - (02460.32 COMX03) 710M5X0.5 +0.5 0.27 PLUSSGIPFIUGYIUS) O PPUS6) AUB6) V ytur) FIS) (05)0.6)t/LYDS)+( cz) -0.46% SOYC 07 ) - (0.55) 10.5 ECONY October 17, 2019 Solve for the following mga probabilities: P ale). P emale) 3 PM) (MOU) 031040405 404 Mul 02960 De MP POMIESGYBARA

Answer 1

Pl Mare) [PCUTAM Dx p[m]urw)[PLUTSG) * P(m)otsa) + [ICUTSC) x I( m JUTSC)] = (0.3% 0.4) + (0.5% 0.45) + (0-2X0.3) = 0.405 - Pe Male) = 0.405 - PC Female) = [PLUTM) * P GJUTM) 3+[pCorsa) xP(Fluts) + [P[UTSC)X PFlurse)] = (0.3% 0-6) + (0.5x0.55) + (0-2X0.7) = 0.595 - Pl Female) = 0.595 or P (Female) = y p (male) = I - 0.405 = 0.595