Home
Class 12
MATHS
If a machine is correctly set up, it pro...

If a machine is correctly set up, it produces 90% acceptable items. If it is incorrectly set up, it produces only 40% acceptable items. Past experience shows that 80% of the set ups are correctly done. If after a certain set up, the machine produces 2 acceptable items, find the probability that the machine is correctly setup.

Text Solution

Verified by Experts

The correct Answer is:
0.95
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.1|17 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.2|18 Videos

  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

Three machines A, B and C produce respectively 30%, 50% and 20% of the total number of items of a factory. The percentage of defective output of these machines are 1%, 4% and 3% respectively. If an item is selected at random, find the probability that the item is non-defective.

A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?

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% of 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?

An item is manufactured by three machines A, B and C. Out of the total number of items manufactured during a specified period, 50% are manufactured on A, 30% on B and 20% on C. 2% of the items produced on A and 2% of items produced on B are defective, and 3% of these produced on C are defective. All the items are stored at one godown. One item is drawn at random and is found to be defective. What is the probability that it was manufactured on machine A ?

(a) A current-carrying circular loop lies on a smooth horizontal plane. Can a uniform magnetic field be set up in such a manner that the loop turns around itself (i.e., turns about the vertical axis). (b) A current-carrying circular loop is located in a uniform external magnetic field. If the loop is free to turn, what is its orientation of stable equilibrium? Show that in this orientation, the flux of the total field (external field + field produced by the loop) is maximum. (c) A loop of irregular shape carrying current is located in an external magnetic field. If the wire is flexible, why does it change to a circular shape?

Figure 7.88 shows a stretched string of length L and pipes of length L , 2L , L//2 and L//2 in options (a) , (b), (c ) and (d) respectively . The string 's tension is adjusted until the speed of waves on the string equals the speed of sound waves in the air . The fundamental mode of oscillation is the set up on the string . In which pipe will the sound produced by the string cause resonance ?

Two masses m_(1) and m_(2) . Which are connected with a light string, are placed over a frictionless pulley. This set up is placed over a weighting machine, as shown. Three combination of masses m_(1) and m_(2) are used, in first case m_(1)=6 kg and m_(2)=2kg in second case m_(1)=5kg and m_(2)=3kg and in third case m_(1)=4kg and m_(2)=4kg .Masses are held stationary initiallly and then released. If the readings of the weighing machine after the release in three cases are W_(1) , W_(2) and W_(3) respectively then :-

NCERT GUJARATI-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. If a machine is correctly set up, it produces 90% acceptable items. If...

    Text Solution

    |

  2. A and B are two events such that P (A) != 0. Find P(B|A), if (i) A ...

    Text Solution

    |

  3. A couple has two children, (i) Find the probability that both child...

    Text Solution

    |

  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

    Text Solution

    |

  5. Suppose that 90% of people are right-handed. What is the probability t...

    Text Solution

    |

  6. An urn contains 25 balls of which 10 balls bear a mark 'X' and the rem...

    Text Solution

    |

  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

    Text Solution

    |

  8. A dice is thrown again and again until three sixes are obtained. Find ...

    Text Solution

    |

  9. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  10. An experiment succeeds twice as often as it fails. Find the probabilit...

    Text Solution

    |

  11. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

    Text Solution

    |

  13. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

  14. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  15. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  16. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  17. Choose the correct answer: If A and B are two events such that P(A) ...

    Text Solution

    |

  18. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

    Text Solution

    |

  19. Choose the correct answer: If A and B are any two events such that P...

    Text Solution

    |