Home
Class 12
MATHS
Let X be a discrete random variable whos...

Let `X` be a discrete random variable whose probability distribution is defined as follows: `P(X=x)={k(x+1)forx=1,2,3,4 2k xforx=5,6,7 0ot h e r w i s e` , where `k` is a constant. Find (i) `k` (ii) `E(X)` (iii) standard deviation of `Xdot`

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

The probability distribution of a random variable X is given as under: P(X=x)={k x^2forx=1,2,3 2k xforx=4,5,6 0ot h e r w i s e , where k is a constant. Find (i) P(Xgeq4 ) (ii) E(X) (iii) E(3X^2)

A random variable 'X' has the following probability distribution : The values of k is

The probability distribution of a random variable x is given as under P(X=x)={{:(kx^(2),x="1,2,3"),(2kx,x="4,5,6"),("0,","otherwise"):} where, k is a constant. Calculate (i) E(X) (ii) E(3X^(2)) (iii) P(Xge4)

If X is a random variable with probability distribution P(X=k)=((k+1)C)/(2^(k)),K=0,1,2,…. then find C.

A discrete random variable X has the probability distribution given below: X :0. 511. 52 P(X):kk^22k^2k Find the value of kdot (ii) Determine the mean of the distribution.

A discrete random variable X has the probability distribution as given below (i) Find the value of k. (ii) Determine the mean of the distribution.

A discrete random variable X has the probability distribution as given below (i) Find the value of k. (ii) Determine the mean of the distribution.

Find the value of k for probability distribution of a random variable X is give by:

A discrete random variable X has the probability distribution given below: X :\ 0. 5 \ \ 1\ \ 1.5 \ \ 2 P(X):\ \ k \ \ k^2 \ \ 2k^2 \ \ k then, Find the value of k .

The probability distribution for a random variable X is as follows: Find: (i) k (ii) P(X 6) (iv) P(0X<3)

RD SHARMA ENGLISH-MEAN AND VARIANCE OF A RANDOM VARIABLE -All Questions
  1. A probability distribution of a variable X is given below: X :01234 P(...

    Text Solution

    |

  2. A random variable X as the following probability distribution: xi :-2-...

    Text Solution

    |

  3. Let X be a discrete random variable whose probability distribution is ...

    Text Solution

    |

  4. The probability distribution of a discrete random variable X is given ...

    Text Solution

    |

  5. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  6. The probability distribution of a random variable X is given as under:...

    Text Solution

    |

  7. In a game 3 coins are tossed. A person is paid Rs. 5, if he gets all h...

    Text Solution

    |

  8. A discrete random variable X has the probability distribution given be...

    Text Solution

    |

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

    Text Solution

    |

  10. A box contains 13 bulbs out of which 5 are defective. 3 bulbs are r...

    Text Solution

    |

  11. Two cards are drawn without replacement from a well-shuffled deck of 5...

    Text Solution

    |

  12. Find the probability distribution of the number of green balls drawn ...

    Text Solution

    |

  13. Find dy/dx if x^2=tany

    Text Solution

    |

  14. We take 8 identical slips of paper, write the number 0 on one of them,...

    Text Solution

    |

  15. A die is loaded in such a way that an even number is twice likely to ...

    Text Solution

    |

  16. Two baised dice are thrown together. For the first die P(6)=1/2 , othe...

    Text Solution

    |

  17. The probability distribution function of a random variable X is given ...

    Text Solution

    |

  18. Two cards are drawn successively without replacement from a well sh...

    Text Solution

    |

  19. Three cards are drawn successively with replacement from a well-shu...

    Text Solution

    |

  20. A fair die is tossed twice. If the number appearing on the top is less...

    Text Solution

    |