Home
Class 12
MATHS
X is a random variable with distribution...

X is a random variable with distribution given below
`{:(x:,0,1,2,3),(P(X=x):,k,3k,3k,k):}`
The value of k and its variance are

A

`1//8, 22//27`

B

`1//8, 23//27`

C

`1//8, 24//27`

D

`1//8, 27//36`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -1)|4 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -2)|3 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos
  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos
  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If X is random variable with distribution given below x:1 2 3 4 P(X=x):k k 2k 3k The value of k and its mean are

A random variable X has the following distribution {:(X=x_(1):,1,2,3,4),(P(X=x_(1)):,k,2k,3k,4k):} The value of k and P(X lt 3) are equal to

A random variable X has the following distribution {:(x:,1,2,3,4),(P(X=x):,k^(2),3k^(2),5k^(2),7k^(2)):} The value of k is

A random variable X has the following distribution {:(x_(1):,0,1,2,3),(P(X=x_(1)):,2k^(2),3k^(2),5k^2,6k^(2)):} Then value of k and its mean are

A random variable X has the following distribution {:(X=x_(1):,-2,-1,0,1,2,3),(P(X=x_(1)):,0.1,k,0.2,2k,0.3,k):} The value of k and its mean and variance are

The distribution of a random variable X is given below: {:(X=x,-2,-1,0,1,2,3),(P(X=x),(1)/(10),k,(1)/(5),2k,(3)/(10),k):} The value of k is

The probability distribution of a random variable X is given below: {:(X=x,0,1,2,3),(P(X=x),(1)/(10),(2)/(10),(3)/(10),(4)/(10)):} Then the variance of X is

A random variable X has the probability distribution given below. Its variance is {:(X,1,2,3,4,5),(P(X=x)k,2k,3k,2k,k,):}

DIPTI PUBLICATION ( AP EAMET)-THEORETICAL DISTRIBUTIONS-EXERCISE 1 (CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVE 1,2,3 OR 4 GIVEN )
  1. The probability distribution of a random variable X is given below: ...

    Text Solution

    |

  2. If m and sigma^(2) are the mean and variance of the random variable X,...

    Text Solution

    |

  3. X is a random variable with distribution given below {:(x:,0,1,2,3),...

    Text Solution

    |

  4. A random variable X has the probability distribution given below. Its ...

    Text Solution

    |

  5. A random variable X follows the following distribution {:(X=x(i):,0,...

    Text Solution

    |

  6. A random variable X has the following distribution {:(X=x(1):,-2,-1,...

    Text Solution

    |

  7. A random variable X has the following distribution {:(x,:-3,-2,-1,0,...

    Text Solution

    |

  8. The random variable takes the values 1,2,3,…….m. If P(X=n)=(1)/(m) to ...

    Text Solution

    |

  9. A randomm variable X takes the value -1,0,1. It's mean is 0.6. If (X=0...

    Text Solution

    |

  10. Let X denote the profit of a business man. The probability of getting ...

    Text Solution

    |

  11. For a dealer in a consignment of umbrellas , the probabilty of getting...

    Text Solution

    |

  12. A box contains 6 tickets. Two of the tickets carry a price of Rs. 5//-...

    Text Solution

    |

  13. A random variable X has the probability distribution: {:(X:,1,2,3,4,...

    Text Solution

    |

  14. The probability of getting exactly 2 heads when tossing 7 coins is

    Text Solution

    |

  15. A coin is tossed 3 times. The probability of getting head once and tai...

    Text Solution

    |

  16. If X is the number of heads getting when five coins are tossed, then m...

    Text Solution

    |

  17. If X is the number of heads getting when 8 coins are tossed , then mea...

    Text Solution

    |

  18. If X is the number on the die , when a die is rolled, then mean and st...

    Text Solution

    |

  19. If X is the sum of the number when two dice are rolled , then mean var...

    Text Solution

    |

  20. In a binomial distribution n=12, p=1//3. Then mean and variance are

    Text Solution

    |