Home
Class 12
MATHS
If the p.d.f of a c.r.v. X is f(x)=x^2/1...

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

A

(a) `1/27`

B

(b) `1/28`

C

(c) `1/29`

D

(d) `1/26`

Text Solution

Verified by Experts

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)=

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})

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) .

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=

If p.d.f. of a a c.r.v. X is f(x) = ae^(-ax) , x ge 0, a gt 0 = 0 , otherwise. If P(0 lt X lt K)=0.5 , then K =

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

CHETANA PUBLICATION-PROBABILITY DISTRIBUTIONS-EXERCISE
  1. The pmf for X=numbers of major defects in a randomly selected applianc...

    Text Solution

    |

  2. The time (in minutes)that a lab assistant to prepare the equipment for...

    Text Solution

    |

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

    Text Solution

    |

  4. If the p.d.f of a r.v.x is f(x)=3(1-2x^2),for 0ltxlt1 and =0,other wi...

    Text Solution

    |

  5. If the p.d.f of a c.r.v. X is f(x)=x^2/18, for -3 < x < 3 and =0, oth...

    Text Solution

    |

  6. If p.m.f of a d.r.v.X is P(X=x)=(^5CX)/2^5, for x=0,1,2,3,4,5 and =0,...

    Text Solution

    |

  7. If X denotes the number obtained on the uppermost face when a fair di...

    Text Solution

    |

  8. If X is a r.v with pmf P(x)=kx,for x=1,2,3,=0,otherwise,then K=………..

    Text Solution

    |

  9. Let pmf of a random variable X is P(x)=(3-x)/10,x=-1,0,1,2.=0,otherwis...

    Text Solution

    |

  10. If the pdf of continuous random variable X is given as f(x)=x^2/3,-1 <...

    Text Solution

    |

  11. If the p.d.f of a c.r.v. X is f(x)=x^2/18, for -3 < x < 3 and =0, oth...

    Text Solution

    |

  12. Verify whether f(x)=sin x for 0lexlepi/2 is pdf of r.v.X.

    Text Solution

    |

  13. In a meeting.70% of the members favour and 30% oppose a certain propos...

    Text Solution

    |

  14. Find the probability distribution of number of tails in the simultaneo...

    Text Solution

    |

  15. If a r.v.X has p.d.f.,f(x)=c/x, For 1< x< 3 ,c>0, find c and E(X)

    Text Solution

    |

  16. The pdf of r.v.X is given by P(X=x)=^5Cx/2^5,for x=0,1,2,3,4,5=0,other...

    Text Solution

    |

  17. The pdf of r.v.X is given by f(x)=1/2a,for 0<x<2a, =0,otherwise, show ...

    Text Solution

    |

  18. Let X be the amount of time for which a book is taken out of library b...

    Text Solution

    |

  19. Let X be the amount of time for which a book is taken out of library b...

    Text Solution

    |

  20. A player tosses two coins He wins ₹10 if 2 heads appear,₹5 if 1 head a...

    Text Solution

    |