Home
Class 12
MATHS
The probability density function of a ra...

The probability density function of a random variable x is f(x) = `{(kx^(alpha-1)e^(-betax^alpha),x","alpha","beta","gt0),(0,"elsewhere"):}`
Find (i) k, (ii) P`(X gt 10)` .

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    FULL MARKS|Exercise EXERCISE -11.6|20 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|40 Videos
  • SAMPLE PAPER - 1

    FULL MARKS|Exercise PART-IV (Answer the questions)|14 Videos

Similar Questions

Explore conceptually related problems

alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

If the p.m (probability mass function ) f(x) of a random varibale X is Find P(X gt2)

The probability density function of random variable X is given by f(x)= {(k,1lt=xlt5),(0,"otherwise"):} Find (i) Distribution function (ii) P(X lt 3) " (iii)" P(2ltX lt4) "(iv)" P(3 lt=X)

The probability density function of the random variable X is given by f(x)={{:(16xe^(-4x), "for " x gt 0), (0, "for " x le 0):} find the mean and variance of X

If f(x)=1/9x^(2)0lexlta is a probability density function of random variable then the value of a is

If f(x)=ae^(-2x)0ltxltinfty is a probability density function of a random variable x then its variance is

A continuous random variable x has the p.d.f defined by f(x) = {(Ce""^(-ax),0ltxltoo),(0,"elsewhere"):} find the value of C if a gt 0.

The probability density function of X is given by f(x)={{:(kxe^(-2x), "for " x gt 0), (0, "for " x le 0):} Find the value of k.

If f(x)=k(2x-x^(2)),0lexle1 is probability density function of a continous random variable x then k is

FULL MARKS-PROBABILITY DISTRIBUTIONS-Additional Problems
  1. For the distribution function given by F(x)={{:(0",", x lt 0), (x^(2)"...

    Text Solution

    |

  2. For the probability density function f(x) ={(2e""^(-2x),x gt0),(0,xlt=...

    Text Solution

    |

  3. The probability density function of a random variable x is f(x) = {(kx...

    Text Solution

    |

  4. A continuous random variable x has the p.d.f defined by f(x) = {(Ce""^...

    Text Solution

    |

  5. An urn contains 4 white and 3 Red balls. Find the probability distribu...

    Text Solution

    |

  6. Find the mean and variance of the distribution f(x) = {(3e""^(-3x),0lt...

    Text Solution

    |

  7. Two cards are drawn with replacement from a well shufflied deck of 52 ...

    Text Solution

    |

  8. In a Binomial distribution if n = 5 and P(X=3) =2P (X=2) find p.

    Text Solution

    |

  9. If the sum of mean and variance of a Binomial Distribution is 4.8 for ...

    Text Solution

    |

  10. If on an average 1 ship out of 10 do not arrive safely to parts . Fin...

    Text Solution

    |

  11. The overall percentage of passes in a certain examination is 80 . If s...

    Text Solution

    |

  12. In a hurdle race a player has to cross 10 hurdles . The probability th...

    Text Solution

    |

  13. If f(x) = {(kx^(2),0ltxlt 3),(0,"elsewhere"):} is a probability densit...

    Text Solution

    |

  14. If f(x) = (A)/(pi)(1)/(16+x^(2)),0 ltx lt oo is a probability density ...

    Text Solution

    |

  15. A random variable X has the following probability mass function as fol...

    Text Solution

    |

  16. X is a discrete random variable which takes the values of 0,1,2 and P ...

    Text Solution

    |

  17. Given E(X+C)=8 and E(X-C)=12 The value of C is

    Text Solution

    |

  18. X is a random variable taking the values 3,4 and 12 with probabilites ...

    Text Solution

    |

  19. Variance of the random variable X is 4 . Its mean is 2 . Then E(X^(2))...

    Text Solution

    |

  20. In 5 throws of a die getting 1 or 2 is a success . Then mean number of...

    Text Solution

    |