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A factory has two machines and Il Machin...

A factory has two machines and Il Machine produces 40% of items of the output and Machine Il produces 60% of the items. Further 4% of items produced by Machine are defective and 5% produced by Machine Il are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine II. (See the previous example, compare the questions)

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A factory has two machines A and B. Machine A produces 40% of items of the output and Machine B produces 60% of the items. Further 4% of items produced by Machine A are defective and 5% produced by Machine B are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine B.

A factory has two Machines-I and II. Machines- produces 25% of items and Machine-II produces 75% of the items of the total output. Further 3% of the items produced by Machine-I are defective whereas 4% produced by Machine - Il are defective. If an item is drawn at random what is the probability that it is defective?

A factory has two Machines - I and II. Machine - I produces 60% of items and Machine -II produces 40% of the items of the total output . Further 2% of the items produced by Machine-I are defective whereas 4% produced by Machine -II are defective . If an item is drawn at random what is the probability that it is defective ?

A factory has two Machines - I and II. Machine-I produced 60% if items and Machine - II produces 40% of the items of the total output. Further 2% of the items produced by Machine - I are defective whereas 4% produced by Machine - II are defective. If an item is drawn at random what is the probability that it is defective ?

Assume that a factory has two machines. Past records show that machine I produces 20% of the output and machine II produces 80% of the item. Further, 6% of the items produced by machine I were defective and only 1% produced by machine II was defective. If a defective is drawn at random, what is the probability that it was produced by (i) machine I (i) machine II?

A factory has two machines X and Y .X produces 70% and Y produces 30% of the items of which items produced by X have 5% defective items and items produced by Y have 8% defective. An item is drawn at random for the product and is found to be defective. Find the probability that it was produced by Machine Y.

A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% ol the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B:

FULL MARKS-INTRODUCTION TO PROBABILITY THEORY-ADDITIONAL PROBLEM
  1. A factory has two machines and Il Machine produces 40% of items of the...

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  2. An experiment has the four possible mutually exclusive outcomes A, B, ...

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  3. Three coins are tossed together. Find the probability of getting exact...

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  4. A bag contains 5 white and 7 black balls,3 balls are drawn at random.F...

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  5. In a box containing 10 bulbs, 2 are defective. What is the probability...

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  6. Out of 10 outstanding students is a school there are 6 girls and 4 boy...

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  7. An integers is chosen at random from the first fifty positive integers...

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  8. A and B are two events associated with random experiment for which (P(...

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  9. Given P(A)=0.5 P(B)=0.6 and P(AnnB)=0.24. Find (i) P(A uuB) (ii) P(bar...

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  10. The probability of an event A occur is 0.6 and B occuring is 0.3. If A...

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  11. The probability that a new ship will get an award for its design is 0....

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  12. If P(A)=0.4 P(B)=0.7 and P(B//A)=0.5 find P(A//B) and P(A uuB)

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  13. P(A)=0.3 P(B)=0.6 and P(A nnB)=0.25. Find (i)n P(A uuB), (ii) P(A//B),...

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  14. Two cards are drawn by one at random from of 52 playing cars. What is ...

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  15. A husband and wife appear in an interview of vacancies in the same pos...

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  16. A factory has two Machines-I and II. Machines- produces 25% of items a...

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  17. There are two identical boxes containing respectively 5 white and 3 re...

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  18. In a factory Machine-I produces 45% of the output and Machine -II 55% ...

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