SOLUTION: In a certain factory, three machines A, B and C produce the same product. The machines A and B produce respectively 35 and 45 percent of the total output. The percentage of defect

Algebra.Com
Question 891687: In a certain factory, three machines A, B and C produce the same product. The machines A and B produce respectively 35 and 45 percent of the total output. The percentage of defectives produced by each of the machines A, B and C are respectively 5, 4 and 2 percent.
(a) An item is drawn at random from the total output. What is the probability that it is defective?
(b) An item drawn at random from the total output turned out to be non defective. What is the probability that it was manufactured by machine A?

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
300
.35,.45,.20
.05,.04,.02
.35*300=105
.45*300=135
.20*300= 60
.05*105=5.25
.04*135=5.40
.02*60=1.2
11.85
5.25+5.40+1.2=11.85
11.85/300=0.0395
a) 3.95%
.95*105=99.75
.96*300=95.6
.98*300=98.8
294.15
99.75/294.15=0.339
b) 3.39%







RELATED QUESTIONS

Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of... (answered by lynnlo)
In a bolt factory, machines A, B and C 25%,35% and 40% of total outputs respectively. Of... (answered by greenestamps)
A factory produces its entire output with three machines. Machines I, II, and III produce (answered by jorel1380)
In a factory,three machines,A,B and C, are used to manufacture plastic bottles.they... (answered by greenestamps)
When both copying machines A and B are working together, secretaries can make 100 copies... (answered by ikleyn)
Suppose three machines A, B, and C produce similar engine components. Machine A produces... (answered by Boreal)
Machine A can do a certain job in 8 hours. machine B can do the same job in 10 hours.... (answered by stanbon)
Farmers in many province mill rice using a machine. One farmer use 3 machines A, B and C. (answered by josgarithmetic)
An automobile factory needs to select other companies as suppliers for 3 different parts. (answered by ikleyn)