Home
Class 12
MATHS
A continuous random variable x has the p...

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.`

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

Find the mean and variance of the distribution f(x) = {(3e""^(-3x),0lt xltoo),(0,"elsewhere"):}

If X is a continuous random variable then P(X ge a)= _________.

If a random variable X has the p.d.f. f(x)=k/(x^(2)+1), 0 lt x lt infty , then k is

For the probabilty density function f(x) [ {:(,cx(1-x)^(3),0 lt x lt 1),(,0,"elsewhere"):} find the constant c.

If a continuous random variable X has the p.d.f. f(x)=4k(x-1)^(3) 1<=x<=3 , then find P(1 le X le 2) .

A random variable X has a probability density function f(x) ={{:(,k,0 lt x lt 2pi),(,0,"elesewhere"):} find (i) k , (ii) P ( 0 lt X lt pi//2) (iii) P(pi//2 lt X lt 3pi//2)

If f(x) = {(kx^(2),0ltxlt 3),(0,"elsewhere"):} is a probability density function then the value of k is ……. .

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) .

The time to failure in thousands of hours of an electronic equipment used in a manufactured computer has the density function f(x)={{:(3e^(-3x), x gt 0), (0, "elsewhere"):} Find the expected life of this electronic equipment.

FULL MARKS-PROBABILITY DISTRIBUTIONS-Additional Problems
  1. For the probability density function f(x) ={(2e""^(-2x),x gt0),(0,xlt=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The mean of a binomial distrution 5 and SD is 2, Then the value of n a...

    Text Solution

    |