Home
Class 12
MATHS
The screws produced by a certain machine...

The screws produced by a certain machine were checked by examining samples of 7. The following table shows the distribution of 128 samples according to the number of defective items they contained.
Fit a binomial distribution and find the expected frequencies if the chance of screw being defective is `1/2`. Also find the mean and variance of the fitted distribution.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos

  • MOCK TEST-3

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

Similar Questions

Explore conceptually related problems

From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of the number of defective bulbs. Hence, find the mean of the distribution.

From a lot of 10 items containing 3 defective items a sample of 4 items is drawn at random. Let the random variable 'X' denote the number of defective items in the sample. If the sample is drawn without replacement, find: the probability distribution of X.

A box contains 12 bulbs of which 3 are defective. A sample of 3 bulbs is selected from the box. Let X denotes the number of defective bulbs in the sample, find the probability distribution of X.

From a lot of 10 bulbs which include 3 defectives, a sample of 2 bulbs is drawn at random. Find the probability distribution of the number of defective bulbs.

A die is tossed once. Let a random variable X be defined as X={(0,if the dice shows an odd number),(1, if the dice shows an even number):} Find the probability distribution of X. Also find the mean and variance.

10% of tools produced by a certain manufacturing process turn out to be defective. Assuming binomial distribution, the probability of 2 defective in sample of 10 tools chosen at random, is

MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. Determine the binomial distribution whose mean is 10 and whose standar...

    Text Solution

    |

  2. Determine the binomial distribution whose mean is 10 and whose standar...

    Text Solution

    |

  3. The screws produced by a certain machine were checked by examining sam...

    Text Solution

    |

  4. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E...

    Text Solution

    |

  5. Compute P(A|B),if P(B) = 0.5 and P (A cap B) = 0.32

    Text Solution

    |

  6. If P(A)=0.8, P(B)=0.5 and P(B/A)=0.4, find : P(AnnB)

    Text Solution

    |

  7. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(A|B)

    Text Solution

    |

  8. If P(A)=0.8, P(B)=0.5 and P(B/A)=0.4, find : P(AnnB)

    Text Solution

    |

  9. Evaluate P(AuuB), if 2P(A)=P(B)=(5)/(13) and P(A//B)=(2)/(5) .

    Text Solution

    |

  10. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(AcapB)

    Text Solution

    |

  11. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(A|B)

    Text Solution

    |

  12. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(B|A)

    Text Solution

    |

  13. Determine P(E|F) if A coin is tossed three times, where : E : head on ...

    Text Solution

    |

  14. Determine P(E|F) if A coin is tossed three times, where : E : at leas...

    Text Solution

    |

  15. Determine P(E|F) : if A coin is tossed three times, where : E : at mo...

    Text Solution

    |

  16. Determine P(E|F) if two coins are tossed once, where : E : tail appea...

    Text Solution

    |

  17. Determine P(E|F) if two coins are tossed once, where : E : no tail app...

    Text Solution

    |

  18. Determine P(E|F) if A die is thrown three times, where : E : 4 appear...

    Text Solution

    |

  19. Determine P(E|F) Mother, father and son line up at random for a famil...

    Text Solution

    |

  20. A black and a red dice are rolled :Find the conditional probability of...

    Text Solution

    |