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In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?
  • a)
    5/39
  • b)
    14/39
  • c)
    20/39
  • d)
    34/39
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a bolt factory, machines X, Y, Z manufacture bolts that are respect...
Let E be the probability of drawing defective bolt. Let E1, E2 and E3 be the event of drawing a bolt produced by the Machines A, B and C respectively. Then 

Therefore, P(E2/E) =

Required probability

= 5/39
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Most Upvoted Answer
In a bolt factory, machines X, Y, Z manufacture bolts that are respect...
In a bolt factory, machines X, Y, and Z manufacture bolts that are respectively 25%, 35%, and 40% of the factory's production.

To determine the percentage of bolts produced by each machine, we can add the percentages of each machine and divide it by the total.

Machine X produces 25% of the factory's bolts.
Machine Y produces 35% of the factory's bolts.
Machine Z produces 40% of the factory's bolts.

Total percentage of bolts produced by all machines = 25% + 35% + 40% = 100%

Therefore, machine X produces 25% / 100% = 1/4 of the factory's bolts.
Machine Y produces 35% / 100% = 7/20 of the factory's bolts.
Machine Z produces 40% / 100% = 2/5 of the factory's bolts.
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In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?a)5/39b)14/39c)20/39d)34/39Correct answer is option 'A'. Can you explain this answer?
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In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?a)5/39b)14/39c)20/39d)34/39Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?a)5/39b)14/39c)20/39d)34/39Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?a)5/39b)14/39c)20/39d)34/39Correct answer is option 'A'. Can you explain this answer?.
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