Question

14 4 /12 points Previous Answers UnderStat12 4.2.036. My Notes Ask Your Teacher The Eastmare Program is a special program to help alcoholics. In the Eastmore Program, an alcoholic lives at home but undergoes a two-phase treatment plan Phase 1 is an intensive group therapy program lasting 10 weeks. Phasell is a long-term counseling program lasting 1 year Eastmore Programs are located in most major cities, and past data gave the following information based on percentages of success and four collected over a long period of time. The probability that a chent will have a re s p .21the pretty that a dient have a s phase 0.2007. However, a t did not have a relapse in phase then the probably that this will not have a repein phase is 0.94. Ha client did have a relapse in phase I, then the probability that this client will have a relapse in phasell is 0.73 Let A be the event that a dient has a relapse in phase 1 and be the event that a chent has a relapse in phase II Let be the event that a client has no relapse in phase and be the event that a client has no release in phase II (Enter your answers to four decal places) (a) Compute RAL and PD) PYA) - 0.21 PC) - 0.79 PD- (b) Compute RBIA) and PDC) PB14) - X PDI - 20117 x Computer and B) and PC and D). PCA and B) = 00421 X PCD) - (d) Computer or 8) PA ) - (e) What is the probability that a client will go through both phase and h ell without a relapse? What is the probability that a client will have a relapse in both phase and phase (a) What is the probably that a dient will have a relapse in the shaselor phase

Answer 1

az According to question. P(A)= Pl having ardapse in Phore I = 0.21 P(B) = P(having a relapse in phase II). -0.2007 P(c)= Plhoving nordlaple in phase) 1-PCA) - 1-0:21.30-19 - Pin Plhaving no relapse in phase IT) _=1 - pin)- |-0-2007 C = 0: 7993 by Given, Placapse in Pll rhapsein. = PLAIB) = 0.73. PLA and B) PLB) -) PLA and B) = 0·73 x 0 2007 = 0.1465 .PL. BIA) = P(BandA) - 0 1465 PCA) 0 21. - 0.6976 P2 0 23

-P (no rclopse in P21. noselapse in Pl) = Plole) = P(Dande) pec) Now given, Pl. CID)=P(cand) - 0.94 P(D) Plea ) *4** - Plcando) = 0.9 ux 0.7993. = 0.7513 PC DIC) 0.7513 -0-95121 0.79. c) from part 'b' Pe Aand B) = 0.1465 pleand A) = 0.7513 dXlA or B)PIA)+PCB) - PC Aand B) = 0.21 to 2007 - 01465 02642 ef Req prob- PLA'B') - PLAUB) = 1- PLAUB) By Dem organs law. PLAN B)PLMUB). LANB = 1-P.LAUB) -1-0-2642 20-7358 AUB)

Т. 1 Prob, PIAnB) - РІКлча в) - 0:/ч 65 9) Req prob: PLAUB) - Рік от В) — 0° 2 ч 2.