Home
Class 12
MATHS
Find the c.d.f. f(x)=3(1-2x^2) for 0 < x...

Find the c.d.f. `f(x)=3(1-2x^2)` for `0 < x < 1`
and `=0`,otherwise.
Also find `P(1/4 < x < 1/3)` by using pdf and cdf.

Promotional Banner

Topper's Solved these Questions

  • Matrices

    CHETANA PUBLICATION|Exercise EXERCISE|96 Videos
  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos

Similar Questions

Explore conceptually related problems

If the p.d.f of a r.v.x is f(x)=3(1-2x^2), for 0ltxlt1 and =0 ,other wise(elsewhere)then the c.d.f of X is F(x)=

P.d.f of a c.r.v X is f(x)=6x(1-x) ,for 0lexle1 and =0,otherwise(elsewhere) If P(X a) , then a=

The p.d.f of a random variable X is given by f(x) = 3(1-2x^(2)), 0 lt x lt 1 = 0 , otherwise Find P((1)/(4)lt X lt (1)/(3))

If the p.d.f of a c.r.v. X is f(x)=x^2/18 , for -3 and =0 , other wise then P(|X| < 1) =

Given that p.d.f of a continuous r.v. f(x)=x^(2/3) , for 1 and =0 otherwise. Determine c. d. f. of X hence find P(x 2),P(X > 0),P(1 < x < 2) .

The p.d.f. of r.v. X is given by f(x)=1/(2a) , for 0 and = 0 otherwise. show that P(X frac{3a}{2})

CHETANA PUBLICATION-PROBABILITY DISTRIBUTIONS-EXERCISE
  1. For each of the following p.d.f of r.v.X,find (a)P(x<1) and (b)P(|X|<1...

    Text Solution

    |

  2. For each of the following p.d.f of r.v.X,find (a)P(x<1) and (b)P(|X|<1...

    Text Solution

    |

  3. Find the c.d.f. f(x)=3(1-2x^2) for 0 < x < 1 and =0,otherwise. Also ...

    Text Solution

    |

  4. Let f(x)=1/x^2,1 < x < infty =0,otherwise be the pdf of a r.v. X if ...

    Text Solution

    |

  5. Let X=amount of time for which on book is taken out of a college libra...

    Text Solution

    |

  6. Let X = amount of time for which on book is taken out of a college li...

    Text Solution

    |

  7. Let X denote the reaction temperature (in 0^@ C) of a certain chemical...

    Text Solution

    |

  8. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

    Text Solution

    |

  9. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

    Text Solution

    |

  10. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

    Text Solution

    |

  11. Text Solution

    |

  12. Text Solution

    |

  13. Text Solution

    |

  14. A r.v.X assumes values 1,2,3….n with the equal probabilities. (ii) Wha...

    Text Solution

    |

  15. The pdf of r.v.X is given by f(x)=k/sqrt(x) ,0 < x< 4. =0,otherwise. ...

    Text Solution

    |

  16. Determine K if f(x)=Ke^(- theta x),0lex < theta,theta > 0 =0,otherwise...

    Text Solution

    |

  17. Text Solution

    |

  18. A r.v.X has the following probability distribution.(ii)Find P(0 < x <...

    Text Solution

    |

  19. Given that p.d.f of a continuous r.v. f(x)=x^(2/3), for 1 < x < 2 a...

    Text Solution

    |

  20. Find K,such that the function P(x)=K(4,3),x=0,1,2,3,4,K>0=0,otherwise ...

    Text Solution

    |