In a bolt factory machines a, b and c manufacture respectively 25%, 35% and 40% of the total output; 5, 4 and 2 percent are defective bolts respectively. A bolt drawn at a random from the product and is found to be defective. What are the probabilities that it was manufactured from machines a, b and c?
Answers
Answered by
3
Answer:
0.0345
Step-by-step explanation:
The probabilities are as follows :
1) P(defective and from a) :
5/100 × 25/100 = 1/80
2) P(defective and from b)
= 4/100 × 35/100 = 7/500
3) P(defective and from C) :
= 2/100 × 40/100 = 1/125
P(it is from a or b or c) = p(from a) + p(from b) + p(from c)
1/80 + 7/500 + 1/125 = 69/2000
= 0.0345
Answered by
4
Answer:
0.0345
Step-by-step explanation:
The probabilities are as follows :
1) P(defective and from a) :
5/100 × 25/100 = 1/80
2) P(defective and from b)
= 4/100 × 35/100 = 7/500
3) P(defective and from C) :
= 2/100 × 40/100 = 1/125
P(it is from a or b or c) = p(from a) + p(from b) + p(from c)
1/80 + 7/500 + 1/125 = 69/2000
= 0.0345
0.0345
Step-by-step explanation:
The probabilities are as follows :
1) P(defective and from a) :
5/100 × 25/100 = 1/80
2) P(defective and from b)
= 4/100 × 35/100 = 7/500
3) P(defective and from C) :
= 2/100 × 40/100 = 1/125
P(it is from a or b or c) = p(from a) + p(from b) + p(from c)
1/80 + 7/500 + 1/125 = 69/2000
= 0.0345
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