Chapter 3. Probability

74 Chapter 3: ProbabilityApplying Bayes’ Theorem. In Exercises 21-24, assume that the Altigauge Manufacturing Company makes 80%of all electrocardiograph machines, the Bryant Company makes 15% of them, and the Cardioid Company makesthe other 5%. The electrocardiograph machines made by Altigauge have a 4% rate of defects, the Bryantmachines have a 6% rate of defect, and the Cardioid machines have a 9% rate of defects.We’ll make a table that displays these data had 10000 electrocardiograph machines been made.Altigauge Bryant Cartioid TotalNot DefectiveDefective7680320141090455459545455Total 8000 1500 500 10000number made by Altigaugetotal number made80001000021. a. P(made by Altigauge) = = = 0. 800b. P(Altiguage | defective)number of defective Altigauge electrocardiographsP(Altiguage | defective) =number of defective electrocardiographs320455= 0.703number made by Bryanttotal number made15001000022. a. P(made by Bryant)= = = 0. 150=b. P(Bryant | defective)P(Bryant90455= 0.198| defective)=number of defective Bryant electrocardiographsnumber of defective electrocardiographs=number made by Cardioid 500= =total number made 1000023. a. P(made by Cardioid)= 0. 050b. P(Cardioid | defective)P(Cardioid45455= 0.0989| defective)=number of defective Cartioid electrocardiographsnumber of defective electrocardiographs=