Question

Quality assurance is an important aspect of any business. This case study is based on Lyman Limited, a
company that manufactures and sells office furniture. They obtain their parts (hinges, chair wheels, etc.) from
three different suppliers, A, B and C. Past experience has shown that 20% of the parts are supplied by A, 50%
are supplied by B and the rest are supplied by C. It is also known that 10% of the parts supplied by A are defect,
8% of the parts from B are defect and 6% of the parts from C are defect.

1.1 A part is randomly selected during a quality assurance test and is found to be defective. Calculate the probability that it was supplied by supplier B.

Answer 1

Answer:

what is that huh

Answer 2

Past experience has shown that 20% of the parts are supplied by A,

50%  are supplied by B

the rest are supplied by C.

It is also known that 10% of the parts supplied by A are defect,

8% of the parts from B are defect

6% of the parts from C are defect.

A part is randomly selected during a quality assurance test and is found to be defective.

Explanation:

here n(s)=100

probability for defect

then p(a)=10/100=1/10

p(b)=8/100

p(c)=6/100

probability for total furniture

p(a)=20=20/100=2/10

p(b)=50=50/100=5/10

p(c)=30=30/100=3/10

hence the A will be 2/10+1/10=3/10.