Home
Class 12
MATHS
A random variable X has the following pr...

A random variable X has the following probability distribution:

Determine (i) K (ii) `P(X lt 3)` (iii) `P(X gt 6)` (iv) `P(0 lt X lt 3)`

Text Solution

Verified by Experts

The correct Answer is:
`(i)(1)/(10), (ii) (3)/(10), (iii) (17)/(100), (iv) (3)/(10)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.5|15 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE 13 |20 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.3 |14 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

A random variable X has the following probability distribution : then P(X le 1) = ….......

A random variable X has the distribution. Then , variance of the distribution, is

Probability distribution of random variable X is as follows: Find P(X lt 3), P(X ge 3) and P(0 lt X lt 5) .

Let X be a random variable with probability distribution. then E(5X-2)= ………. .

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

A random variable X has poisson's distribution with mean 3. Then find the value of P(Xgt2.5) .

A random variable X has the probability distribution: For the events E = { X is a prime number } and F = { X lt 4} , the probability P(E cup F) is ………..

A random variable X has Poisson's distribution with mean 2. Then , P(X gt 1.5) is equal to

Probability distribution of random variable X is as follows: Where C gt 0 Find (i) C (ii) P(X lt 2) (iii) P(1 lt X le 2) .

The probability distribution of a random variable X is given below: (i) Determine the value of k. (ii) Determine P(X le 2) and P(X gt 2) (ii) Find P(X le 2) +P(X gt 2) .

KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.4
  1. State which of the following are not the probability distributions of ...

    Text Solution

    |

  2. An urn contains 5 red and 2 black balls. Two balls are randomly drawn....

    Text Solution

    |

  3. Let X represent the difference between the number of heads and the num...

    Text Solution

    |

  4. Find the probability distribution of (i) number of heads in two tos...

    Text Solution

    |

  5. Find the probability distribution of (i) number of heads in two tos...

    Text Solution

    |

  6. Find the probability distribution of (i) number of heads in two tos...

    Text Solution

    |

  7. Find the probability distribution of the number of successes in two to...

    Text Solution

    |

  8. Find the probability distribution of the number of successes in two to...

    Text Solution

    |

  9. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...

    Text Solution

    |

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

    Text Solution

    |

  11. A random variable X has the following probability distribution: ...

    Text Solution

    |

  12. The random variable X has a probability distribution P(X) of the follo...

    Text Solution

    |

  13. Find the mean number of heads in three tosses of a fair coin.

    Text Solution

    |

  14. Two dice are thrown simultaneously. If X denotes the number of sixes, ...

    Text Solution

    |

  15. Two numbers are selected at random (without replacement) from the firs...

    Text Solution

    |

  16. Let X denote the sum of the numbers obtained when two fair dice are ro...

    Text Solution

    |

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

    Text Solution

    |

  18. In a meeting, 70% of the members favour and 30% oppose a certain propo...

    Text Solution

    |

  19. Choose the correct answer The mean of the numbers obtained on throwi...

    Text Solution

    |

  20. Choose the correct answer Suppose that two cards are drawn at random...

    Text Solution

    |