Home
Class 12
MATHS
Show that the function f(x) defined by ...

Show that the function f(x) defined by .`f(x) = (1)/(7)`, for `1 le x le 8` =0, otherwise, is a probability density function for a random variable. Hence find `P(3 lt Xlt 10)`

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(7)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • PLANE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise BINOMIAL DISTRIBUTION|20 Videos

Similar Questions

Explore conceptually related problems

Find k so that the function f(x) defined by f(x) = ke^(-3x), x gt 0 = 0 , otherwise. is a probability density function.

Find k if the function f(x) is defined by f(x)=kx(1-x),"for "0ltxlt1 =0 , otherwise, is the probability density function (p.d.f.) of a random varible (r.v) X. Also find P (Xlt(1)/(2))

If f(x)= kx, 0 lt x lt 2 = 0 otherwise, is a probability density function of a random variable X , then find (i) value of k, (ii) P(1 lt x lt2).

If the probability density function of a random variable X is given as then F(0) is equal to

Find k, if the function f defined by f(x) = kx, 0 lt x lt 2 =0 , otherwise is the p.d.f of a random variable X.

Consider the greatest integer function, defined by f(x) =[x],0 le x lt 2 . Then,

If the probability density function of a random variable X is f(x)=x/2 in 0 le x le 2 , then P(X gt 1.5 | X gt 1) is equal to

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is

The following is the p.d.f of continuous random variable X. f(x) = (x)/(8), 0 lt x lt 4 =0 , otherwise. Find the expression for c.d.f of X

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PROBABILITY DISTRIBUTION-EXAMPLE FOR PRACTICE
  1. Verify whether the following functions can be regarded as the p.m.f...

    Text Solution

    |

  2. Find the probability distribution of the number of sixes in three t...

    Text Solution

    |

  3. It is know that a box of 8 batteries contains 3 defective pieces an...

    Text Solution

    |

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

    Text Solution

    |

  5. The probability distrubtion of a discrete random variable X is as ...

    Text Solution

    |

  6. Obtain the expected value and variance of X for the following proba...

    Text Solution

    |

  7. A r.v X has the following probability distribution: Find the ...

    Text Solution

    |

  8. The probability mass funciton (p.m.f) of X is given below : Find ...

    Text Solution

    |

  9. A player tosses 2 fair coins. He wins 5 if 2 heads apper , 2if 1 hea...

    Text Solution

    |

  10. Find k so that the function f(x) defined by f(x) = ke^(-3x), x gt 0...

    Text Solution

    |

  11. Find k, if the function f defined by f(x) = kx, 0 lt x lt 2 =0 , o...

    Text Solution

    |

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

    Text Solution

    |

  13. Let X = amount of time for which a book is taken out of a collag...

    Text Solution

    |

  14. Find k if the function f(x) is defined by f(x)=kx(1-x),"for "0ltxlt1...

    Text Solution

    |

  15. The following is the p.d.f of continuous random variable X. f(x) = (x)...

    Text Solution

    |

  16. The following is the p.d.f of continuous random variable X. f(x) = (x)...

    Text Solution

    |

  17. Given the p.d.f of a continous r.v.X was f(x) = (x^(2))/(3), - 1 l...

    Text Solution

    |

  18. The following is the p.d.f (Probability Density Function ) of a con...

    Text Solution

    |

  19. The following is the p.d.f (Probability Density Function ) of a con...

    Text Solution

    |

  20. Show that the function f(x) defined by .f(x) = (1)/(7), for 1 le x le...

    Text Solution

    |