Home
Class 12
MATHS
If the random variable X takes the valu...

If the random variable X takes the values `x_1,x_2,x_3….,x_(10)` with probablilities P `(X=x_i)=ki` , then the value of k is equal to

A

`1/(10)`

B

`1/4`

C

`1/(55)`

D

`7/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
As we know, the sum of all the probabilities in probability distrubution is one
`thereforeP(X=x_1)+P(X=x_2)+...+P(X=x_(10))=1`
`rArr" "1k+2k+3k+...+10k=1`
`rArr" "(10(10+1))/2k=1rArrk=1/(55)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|40 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|4 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))|30 Videos

  • PRACTICE SET 24

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathmatics)|50 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

Similar Questions

Explore conceptually related problems

If a random variable "X" takes values ((-1)^(k)2^(k))/k, k=1,2,3,... with probabilities P(X=k)=(1)/(2^(k)) , then E(X)

If X is discrete random variable takes the values x_1, x_2, x_3 , ... x_n then sum_(i=1) P(x_i) = ........

If X be a random variable taking values x_(1),x_(2),x_(3),….,x_(n) with probabilities P_(1),P_(2),P_(3) ,….. P_(n) , respectively. Then, Var (x) is equal to …….. .

A random variable X takes the values 0,1,2,3,..., with prbability PX(=x)=k(x+1)((1)/(5))^x , where k is a constant, then P(X=0) is.

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

A random variable X takes the values 0,1 and 2 .If P(X=1)=P(X=2) and P(X=0)=0.4 ,then the mean value of the random variable X is

The random variable X can take only the values 0;1;2. Giventhat P(X=0)=P(X=1)=p and that E(X^(2))=E(X); find the value of p.

A random variable X takes the value -1,0,1. It's mean is 0.6. If P(X=0)=0.2 then P(X=1)=

If x takes the value 2 , then the value of x+10 is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PROBABILITY-Exercise 1 (TOPICAL PROBLEMS)
  1. The probability distribution of a random variable X is given as Then...

    Text Solution

    |

  2. If the random variable X takes the values x1,x2,x3….,x(10) with proba...

    Text Solution

    |

  3. The distribution of a random variable X is goven below The value of ...

    Text Solution

    |

  4. A random variable X has the following probability distribution. Then t...

    Text Solution

    |

  5. Following is the probability density function f(x)=pxe^(-4x^2),0lexleo...

    Text Solution

    |

  6. If the probability density function of a continuous random variable X ...

    Text Solution

    |

  7. If the range ot a random vaniabie X is 0,1,2,3, at P(X=K)=((K+1)/3^k) ...

    Text Solution

    |

  8. A discrete random variable X has the following probability distributio...

    Text Solution

    |

  9. If pdf of a curve X is f(x)=ae^(-ax),xge0,agt0 If P(0ltXltK)=0.5 , t...

    Text Solution

    |

  10. If the pdf of a curve X is f(x)={{:(x/8,0ltxlt4),(0,"elsewhere"):} ...

    Text Solution

    |

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

    Text Solution

    |

  12. For a random variable X, E(X)=3 and E(X^2)=11 Then, variance of X is

    Text Solution

    |

  13. If m and sigma^2 are the mean and variance of the random variable X wh...

    Text Solution

    |

  14. A random variable X has the probability distribution For the events ...

    Text Solution

    |

  15. In a dice game , a player pays a stake of ₹1 for each throw of a die. ...

    Text Solution

    |

  16. Anil's company estimates the net profit on a new products, it is launc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A random variable X takes the values 0,1,2,3,..., with prbability PX(=...

    Text Solution

    |