Home
Class 12
MATHS
A random variable X takes the values 0,1...

A random variable X takes the values `0,1,2,3,...,` with prbability `PX(=x)=k(x+1)((1)/(5))^x`, where k is a constant, then `P(X=0)` is.

A

`(2)/(25)`

B

`(4)/(25)`

C

`(9)/(25)`

D

`(16)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

If a random variable "X" takes values ((-1)^(k)2^(k))/k, k=1,2,3,... with probabilities P(X=k)=(1)/(2^(k)) , then E(X)

If the random variable X takes the values x_1,x_2,x_3….,x_(10) with probablilities P (X=x_i)=ki , then the value of k is equal to

A random variable X takes the value -1,0,1. It's mean is 0.6. If P(X=0)=0.2 then P(X=1)=

Gien that X is discrete random variable which take the values, 0,1,2 and P(X=0)=(144)/(169),P(X=1)=(1)/(169) , then the value of P(X=2) is

A random variable X takes values -1,0,1,2 with probabilities 1+2p(1+3p)/(4),(1-p)/(4),(1+2p)/(4),(-14p)/(4) respectively, where p varies over R. Then the minimum and maximum values of the mean of X are respectively

The random variable X can take only the values 0,1,2. If P(X=0)=P(X=1)=p and E(X^(2))=E[X] , then find valu of p.

A random variate X takes the values 0,1,2,3 and its mean is 1.3. If P(X=3)=2P(X=1) and P(X=2)=0.3, then P(X=0) is equal to

A random variable X takes values 0,1,2,........ with probability proportional to (x with proba bility proportional to (x+1)((1)/(5))^(x), then 5*[P(x<=1)^((1)/(2))] equals

ARIHANT MATHS-PROBABILITY-Exercise (Passage Based Questions)
  1. There are n students in a class. Ler P(Elambda) be the probability tha...

    Text Solution

    |

  2. There are n students in a class. Ler P(Elambda) be the probability tha...

    Text Solution

    |

  3. A cube having all of its sides painted is cut by two horizontal, two v...

    Text Solution

    |

  4. A cube having all of its sides painted is cut to be two horizontal , t...

    Text Solution

    |

  5. A cube having all of its sides painted is cut to be two horizontal , t...

    Text Solution

    |

  6. A JEE aspirant estimates that she will be successful with an 80 percen...

    Text Solution

    |

  7. A JEE aspirant estimates that she will be successful with an 80 percen...

    Text Solution

    |

  8. A JEE aspirant estimates that she will be successful with an 80 percen...

    Text Solution

    |

  9. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

    Text Solution

    |

  10. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

    Text Solution

    |

  11. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

    Text Solution

    |

  12. Let A={1, 2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of increas...

    Text Solution

    |

  13. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of non d...

    Text Solution

    |

  14. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of incre...

    Text Solution

    |

  15. A random variable X takes the values 0,1,2,3,..., with prbability PX(=...

    Text Solution

    |

  16. A random variable X takes values 0, 1, 2, 3,… with probability proport...

    Text Solution

    |

  17. A random variable X takes values 0, 1, 2,...... with probability propo...

    Text Solution

    |

  18. Let n=10lambda+r", where " lambda,rinN, 0lerle9. A number a is chosen...

    Text Solution

    |

  19. Let n=10lambda+r, where lambda,rinN, 0lerle9. A number a is chosen at...

    Text Solution

    |

  20. Let n=10lambda+r, where lambda,rinN, 0lerle9. A number a is chosen at...

    Text Solution

    |