Home
Class 12
MATHS
The pdf of r.v.X is given by f(x)=k/sqrt...

The pdf of r.v.X is given by `f(x)=k/sqrt(x) ,0 < x< 4`.
`=0`,otherwise.
Determine k. Determine c.d.f. of x and hence find `P(xle2),P(2 < X < 3), P(Xge1)`.

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

The p.d.f of random variable of X is given by f(x)=k/sqrt x ,for 0 =0 ,otherwise. Determine K. Determine c.d.f of X and hence P(Xle2) and P(Xle1)

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

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) .

The p.d.f. of a r.v. X is f_(X)(x)={{:((k)/(sqrt(x))","0ltxlt4),(0", otherwise"):} , then c.d.f. of X is:

If the p.d.f. of a r.v. X is given as Then F(0) =

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. Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find the expected value,variance and standard deviation of a random va...

    Text Solution

    |

  10. The pmf for X=numbers of major defects in a randomly selected applianc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

  14. 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

    |

  15. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |