3. A microwave manufacturer buys a certain from three different parts suppliers.
ID: 3339932 • Letter: 3
Question
3. A microwave manufacturer buys a certain from three different parts suppliers. Out of 10,000 units of the part purchased the table below shows who supplied the parts whether the parts were defective or not. Supplier B 2,751 214 Supplier C 2,084 90 Supplier A Not Defective4,186 Defective 135 a. Find the probablity that a randomly selected part is defective (D) b. Find the probablity that a randomly selected part came from Supplier A (A) c. Find the probability that a randomly selected part came from Supplier C (C) given that the part was defective d. Find the probability that a randomly selected part was not defective (N) given the part came from supplier B (B)Explanation / Answer
a. Probability that randomly selected part is defective
Total number of parts = 9460
Total number of defective parts = 439
Probability that randomly selected part is defective = Total number of defective parts/Total number of parts
= 439/9460 = 0.0464
b. Probability that randomly selected part for supplier A
Total number of parts = 9460
Total number of parts supplied by supplier 'A' = 4321
Probability that randomly selected part for supplier A = Total number of parts supplied by supplier 'A'/Total number of parts = 4321/9460 = 0.4568
c. Probability that a randomly selected part came from supplier C given that the part was defective
Number of parts supplied by supplier C and are defective = 90
Number of parts that are defective = 439
Probability that a randomly selected part came from supplier C given that the part was defective = Number of parts supplied by supplier C and are defective / Number of parts that are defective = 90/439 = 0.2050
d. Probability that a randomly selected part was not defective given the part came from supplier B
Number of parts that are non-defective and are supplied by B = 2751
Number of parts that are supplied by supplier B = 2965
Probability that a randomly selected part was not defective given the part came from supplier B = Number of parts that are non-defective and are supplied by B / Number of parts that are supplied by supplier B = 2751/2965 =0.9278
Supplier A Supplier B Supplier C Total Not Defective 4186 2751 2084 9021 Defective 135 214 90 439 Total 4321 2965 2174 9460Related Questions
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