Home
Class 12
MATHS
A class has 15 students whose ages are 1...

A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being of chosen and the age X of the selected student is recorded. What is the probability distribution of the random variable X? Find mean, variance and standard deviaton (SD) of X.

Text Solution

Verified by Experts

The correct Answer is:
mean =17.53 variance =4.8 and sd 2.19
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (SHORT ANSWER TYPE QUESTIONS)|34 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Very Short Answer Type Questions) |56 Videos

  • QUESTION PAPER 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

Similar Questions

Explore conceptually related problems

State whether the following is the probability distribution of a random variable or not.

State whether the following is the probability distribution of a random variable or not.

State whether the following is the probability distribution of a random variable or not.

The probability distribution of a discrete random variable X is given below: The value of k is

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denotes the larger of the two numbers obtained. Find the probability distribution of the random variable X and also find the mean of the distribution.

A random variable X has the following probability distribution determine R

For the following probability distribution, determine standard deviation of the random variable X.

ARIHANT PUBLICATION-PROBABILITY-CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)
  1. Bag I contains 3 red and 4 black balls and bag II contains 5 red and 6...

    Text Solution

    |

  2. Three bags contains a number of red and white balls as follows. Bag I ...

    Text Solution

    |

  3. Three bags contains a number of red and white balls as follows. Bag I ...

    Text Solution

    |

  4. Suppose we have four boxes A, B,C,D containing coloured marbles as giv...

    Text Solution

    |

  5. Suppose we have four boxes A, B,C,D containing coloured marbles as giv...

    Text Solution

    |

  6. Suppose we have four boxes A, B,C,D containing coloured marbles as giv...

    Text Solution

    |

  7. A factory has two machines A and B. Past record shows that machine A p...

    Text Solution

    |

  8. In a bulb factory, machines A, B and C manufacture 60%, 30% and 10% bu...

    Text Solution

    |

  9. There are three coins. One is a two tailed coin (having tail on both f...

    Text Solution

    |

  10. Suppose 5% of men and 0.25% of women have grey hair. A grey haired per...

    Text Solution

    |

  11. A man is known to speak truth 3 out of 4 times. He throws a die and re...

    Text Solution

    |

  12. Let d(1), d(2) and d(3) be three mutually exclusive diseases. Let S ...

    Text Solution

    |

  13. A crime is committed by one of two suspects A and B initially, there i...

    Text Solution

    |

  14. A letter is known to have come either from LONDON or CLIFTON. On the e...

    Text Solution

    |

  15. A letter is known to have come either from LONDON or CLIFTON. On the e...

    Text Solution

    |

  16. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20,...

    Text Solution

    |

  17. From a box containing 32 bulbs out of which 8 are defective 4 bulbs ar...

    Text Solution

    |