BJT PNP AND ZENER DIODE Circuit Analysis Problem
Normally all +VE regulators use NPN not PNP.  
Modern LDO's use Pch FET's where the load is to ground ( = 0V, by definition) .


So your question (or teacher's question) is unusual, because no external LOAD is defined and wrong conventional polarity is used.

But Vec is defined and that with Ic is the driving factor for R2,R3.


Assuming Zener voltage is rated at current given (not likely but close enuf.)


Vz= Vt+ Iz*Rz = 12.0V @ 25'C &amp; Vt is not given here yet found in datasheets.
so we assert;
Vz = 12.0V , Ve = 12.0 +0.7 = 12.7, thus drop 4V , Vc = 8.8 V
Vie= 2.5mA ?? no Ie=2.5mA , Re=2.92k = Ve/Ie= (20-12.7)/2.5mA
Rc = 3.56k = Vc/Ic=8.8/(2.5*0.99) ,  Ic=0.99*Ie (hFE=99) 



looks to be same as your answer.  bad question? or given wrong answer

(clever name Jean) Gene