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+//Compute the 3σ limits
+//page no 113
+clear
+clc;
+USL = 125;
+LSL = 115;
+X1 = 120;
+sd = 1.5;
+X2=X1;
+n = 4;
+A2 = 0.73;
+d2 = 2.059;
+D3 = 0.0;
+D4 = 2.28;
+R1=sd*d2;
+n=4;
+//Control limits for R-chart
+UCL = D4*R1;
+mprintf("\UCL = %.2f \n",UCL);
+LCL = D3*R1;
+mprintf("\LCL = %.2f \n",LCL);
+CL = R1;
+mprintf("\CL = %.2f \n",CL);
+//Control limits for X -chart
+UCL = X1+A2*R1;
+mprintf("\UCL = %.2f \n",UCL);
+LCL = X1-A2*R1;
+mprintf("\LCL = %.2f \n",LCL);
+CL = X2;
+mprintf("\CL = %.2f \n",CL);
+Xnew=122.4;
+Xnew2=117.6;
+Zb=(Xnew/Xnew2)/sd;
+pr = 0.0418; //probability
+Za =(125-122.4)/sd;
+pr = 95.82; //probability
+mprintf("\probability = %.2f \n",pr);
+sdn=sd/sqrt(n);
+Za =(117.74-117.6)/sdn;
+pr = 57.14; //probability
+Zb =(122.26-122.4)/sdn;
+pr = 42.86; //probability
+mprintf("\probability = %.2f \n",pr);
+P=100-pr;
+mprintf("\final probability = %.2f \n",P);