Home
Class 12
MATHS
Verify whether the following functions ...

Verify whether the following functions can be regarded as the p.m.f for the given value of X :
(1) `P(X =x) ={:{(,(x^(2))/(5),x=0","1","2),(,0,"otherwise"):}`
(2) `P(X = x) {{:(,(x-2)/(5),x=1","2","3","4),(,0,"otherwise"):}`

Text Solution

Verified by Experts

The correct Answer is:
(1) Yes (2) No, because `P(X = 1) = - (1)/(5)lt 0`.
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

Verify whether each of the following functions can be regarded as p.mf for the given value of X : (1) (2) P(X) = {{:((x-1)/(3), x = 1","2","3),(0,"Otherwise"):}

If P(X=x)={{:((x^(2))/(5)","x=0","1","2),(0","" otherwise"):},"then"

If P(X=x)={{:((x-1)/(3)","x=1","2","3),(0", otherwise"):},"then"

The p.m.f. of a r.v. X is P(x)={{:((3-x)/(10)","x=-1","0","1","2),(0", otherwise"):} then E (X) =

The p.d.f. of X is f(x)={{:((x^(2))/(18)","-3ltxlt3),(0", otherwise"):} , then P(X lt 1) =

The p.m.f. of a r.v. is P(X=x)={{:((1)/(2^(5))""^(5)C_(x)","x=0","1","...","5),(0", otherwise"):},"then"

The p.m.f. of a r.v. X is P(x)={{:(kx^(2)","x=1","2","3","4),(0", otherwise"):} , then E (X) =

The p.m.f. of a r.v. X is P(x)={{:(2kx","x=1","2","3),(0", otherwise"):} , then E (X) =

The p.m.f. of a r.v. X is P(x)={{:((c)/(x^(3))","x=1","2","3),(0", otherwise"):},"then" E (X) =

The p.m.f. of a r.v. X is P(x)={{:((1)/(15)","x=1","2","…","15),(0", otherwise"):} , then E (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

    |