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+//Caption: Poisson Distribution
+//Example6.5
+//Page179
+clear;
+clc;
+//(a): Probability no piece in the sample is defective
+X1= 0; //nil defective
+p= 0.04;//probability that an inspected piece will be defective
+n = 25; //number of sample units
+Mean = n*p;//mean of the poisson distribution
+[P1,Q1]=cdfpoi("PQ",X1,Mean)
+disp(P1,'No piece will be defective P(X=0,1) is =')
+
+//(b): Probability 3 pieces in the sample will be defective
+X2 = 3; //3 pieces in the sample will be defective
+P2 = exp(-Mean)*(Mean^X2)/(factorial(X2))
+disp(P2,'Probability 3 pieces will be defective P(X=3,1) is =')
+
+//(c): at most 2 pieces will be defective
+X3 = 2;
+[P3,Q3]=cdfpoi("PQ",X3,Mean)
+disp(P3,'Atmost 2 pieces will be defective P(X<=2,1) is =')
+
+//(d): at least 3 pieces will be defective
+P4 = 1-P3
+disp(P4,'At least 3 pieces will be defective P(X>=3,1) is=')
+//Result
+//
+// No piece will be defective P(X=0,1) is =
+//
+// 0.3678794
+//
+// Probability 3 pieces will be defective P(X=3,1) is =
+//
+// 0.0613132
+//
+// Atmost 2 pieces will be defective P(X<=2,1) is =
+//
+// 0.9196986
+//
+// At least 3 pieces will be defective P(X>=3,1) is=
+//
+// 0.0803014