A television manufacturer has three locations where it is finally assembled. Pla

ID: 2983470 • Letter: A

Question

A television manufacturer has three locations where it is finally assembled. Plants A, B, and C

supply 50%, 30%, and 20% respectively of the televisions used by the manufacture. Quality

control has determined that 1% produced by Plant A are defective, while plants B and C have 2%

defective products

What is the probability of finding a defective television?

a. 0.0150

b. 0.0300

c. 0.1458

d. 0.2243

e. None of the above

What is the probability that the television was manufactured by Plant B, given it was not

defective?

a. 0.2700

b. 0.9850

c. 0.2985

d. 0.4975

e. None of the above

1) .01*.5 + .02*.3+.02*.2=0.015

so a)

2) P( B| not defective) = P(not defective|B) * P(B)/P(not defective)=
.98*.3 /(1-0.015=0.2985
so c)

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