Home
Class 12
MATHS
If f(x) is the probability distribution ...

If f(x) is the probability distribution function of a random variable X and X can assume only two values `x_1` and `x_2` then the value of `f(x_1)+f(x_2)` is

A

`ge1`

B

`le1`

C

`ge0`

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXERCISE

    UNITED BOOK HOUSE|Exercise EXERCISE|75 Videos

  • MODEL QUESTION PAPERS SET-01

    UNITED BOOK HOUSE|Exercise Exercise|11 Videos

Similar Questions

Explore conceptually related problems

If F(x) is the probability function of a random varible X and X can assume only two values x_(1),x_(2) then the value of F(x_(1))+f(x_(2)) is

IF f(x)=x|x|,then the value of f'(-1)is

If f(x) = x|x| , then the value of f'(-1) is -

In each case determine wheather the given values can be looked upon as the values of a probability distribution of a random variable which can take up only the values 1,2,3 and 4 and explain your answer : f(x)=(x+1)/(4) .

If f(x) = |1-2x| , then the value of f'(2) is -

The probability density function of a random variable X is f(x) = k(x-1)^2 , 1 le x le 2 . The value of the constant K is

If 2f ((1)/(x)) +f(x) =3x, then the value of f (2) is-

If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

If f(x)=sqrt(x^(2)+1) , then the value of f'(-1) is -

If f (x) =(x-1)/(x+1), then the value of f (2x) in terms of f(x) is-

UNITED BOOK HOUSE-MODEL QUESTION PAPER SET 10-EXERCISE
  1. choose the correct alternative :(viii) the perpendicular distance of t...

    Text Solution

    |

  2. Three events A,B and C are mutually exclusive and exhaustive , if P(A)...

    Text Solution

    |

  3. If f(x) is the probability distribution function of a random variable ...

    Text Solution

    |

  4. answerer any one of the foll. :(ii) if two angles of a triangle are ta...

    Text Solution

    |

  5. (b) answer any one of the foll.: (i) prove without expanding |[1,omega...

    Text Solution

    |

  6. answer any three of the foll. : (i) evaluate : lim(x rarr infty ) (e^(...

    Text Solution

    |

  7. find dy/dx, when e^(xy)-4xy=4

    Text Solution

    |

  8. evaluate: int dx/(sin^2 x cos^2 x)

    Text Solution

    |

  9. Show that , the equation of all circles touchung the y -axis at the or...

    Text Solution

    |

  10. Find the interval in which the function f(x)=x^x(x>0) is decreasing.

    Text Solution

    |

  11. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

    Text Solution

    |

  12. prove that , tan(2tan ^(-1) sqrt((1+cos theta )/(1- cos theta )))+tan ...

    Text Solution

    |

  13. answer the following : (ii) prove that, |[2ab,a^2,b^2],[a^2,b^2,2ab],[...

    Text Solution

    |

  14. answeer the following : (i) if y sqrt(x^2+1)=log(sqrt(x^2+1)-x), show ...

    Text Solution

    |

  15. x= a(theta-sin theta ),y=a(1-cos theta),show that , 2y (d^2y)/(dx^2)+ ...

    Text Solution

    |

  16. answer the following: (ii)evaluate: int (e^x(x-4))/(x-2)^3dx

    Text Solution

    |

  17. evaluate : int dx/(x^4+x^2+1)

    Text Solution

    |

  18. answer the following : (iii) solve:dy/dx=1+e^(2x-y),given y=2 when x...

    Text Solution

    |

  19. evaluate : int(-1)^2 |1-x^2| dx

    Text Solution

    |

  20. Evaluate (with the help of definite integral): underset(n rarr infty)l...

    Text Solution

    |