Home
Class 12
MATHS
There are 5 cards numbered 1 to 5, one n...

There are 5 cards numbered 1 to 5, one number on one card. Two cards are drawn at random without replacement. Let `X` denote the sum of the numbers on two cards drawn. Find the mean and variance.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    RD SHARMA ENGLISH|Exercise All Questions|309 Videos
  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos

Similar Questions

Explore conceptually related problems

There are 5 cards numbered 1 to 5 , one number on one card . Two cards are drawn at random without replacement . Let X denotes the sum of the numbers on two cards drawn . Find the mean and variance of X.

There are 4 cards numbered 1,3,5 and 7, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on the two drawn cards. Find the mean and variance of X.

There are 10 cards numbered 1 to 10 in a bag. Two cards are drawn one after other without replacement. The probability that their sum is odd, is

Two cards are drawn from 52 playing cards without replacement. The variance of the number of ace is

Two cards are drawn successively with replacement . The mean of number of Aces is

Two cards are drawn simultaneously (without replacement) from a well-shuffled pack of 52 cards. Find the mean and variance of the number of red cards.

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Two cards are drawn one by one without replacement. Find the probability that both are hearts.

Two cards are drawn simultaneously (or successively without replacement) from a well shuffled pack of 52 cards. Find the mean and variance of the number of red cards.

RD SHARMA ENGLISH-MEAN AND VARIANCE OF A RANDOM VARIABLE -All Questions
  1. A coin weighted so that P(H)=3/4a n dP(T)=1/4 is tossed three times. L...

    Text Solution

    |

  2. In roulette, fig the wheel has 13 numbers 0,1,2,...,12 marked on eq...

    Text Solution

    |

  3. There are 5 cards numbered 1 to 5, one number on one card. Two cards ...

    Text Solution

    |

  4. A die is tossed twice. A “success” is “getting an odd number” on a ...

    Text Solution

    |

  5. From a lot of 10 items containing 3 defectives, a sample of 4 items id...

    Text Solution

    |

  6. Determine which of the following can be probability distributions of a...

    Text Solution

    |

  7. Determine which of the following can be probability distributions o...

    Text Solution

    |

  8. Determine which of the following can be probability distributions of...

    Text Solution

    |

  9. Let X denote the number of hours you study during a randomly select...

    Text Solution

    |

  10. A random, variable X has the following probability distribution: X :\ ...

    Text Solution

    |

  11. Find the probability distribution of X; the number of heads in two tos...

    Text Solution

    |

  12. A coin is tossed until a head appears or the tail appears 4 times in s...

    Text Solution

    |

  13. A coin is biased so that the head is 3 times as likely to occur as ...

    Text Solution

    |

  14. State which of the following are not the probability distributions ...

    Text Solution

    |

  15. Check the following distributions of probability of random variable X ...

    Text Solution

    |

  16. Prove that the following distributions of probability of random vari...

    Text Solution

    |

  17. Which of the following distributions of probability of random variab...

    Text Solution

    |

  18. A random variable X has the following probability distribution: X :\ ...

    Text Solution

    |

  19. A random variable X has the following probability distribution: Values...

    Text Solution

    |

  20. Let X be a random variable which assumes values x1, x2, x3,\ x4 such t...

    Text Solution

    |