6 B) FIND TXE PROBABILITY TXXAT A PERSON SMOKES GIVEN THAT HE DRINKS ALCSHOL. TKE TABLE AEOVE APPLIES TO THE DEGREES AND GENPER OF MEMBERS OF A MATH DEPARTMENT. CKOOSE Cx=x!nPX=xP(x)P( MALE )P(Ph,D)P( MALE RPh,D)=(x)2P(x) av) P(B,SOFE MALE ) \& P(MALEmSC)BINOM/ALP(x)=n(xP(11)nX VA) ARE TXEEVENTS "B.SC" AND P(A OR B)=P(A)+P(B)P(AAAADB) "FEMAE" IHPEPENDENT? PROVE P(A MAD B )=P(A/B)P(B) YOVR ANSWER (7) THE PROBABMITY THAT A PERSON X=X TXE PROBABILTY TXAT A PERSON DRINKS ACCOKOL =.76 TXE PROBABILITY TXAT A PERSON S MOKES SR DRINKS ALCOHOL =.88 A) FIND TXE PROBABIUTY TIAT A PERSON S MOKES ADD DRInE ALLOHOL.