Home
Class 12
MATHS
If f(x)=Cx^(2), o lt x lt 2 is the p.d.f...

If `f(x)=Cx^(2), o lt x lt 2` is the p.d.f. of x then c is

A

`1/3`

B

`4/3`

C

`8/3`

D

`3/8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 2 MARKS|4 Videos

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 3 MARKS|4 Videos

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS - 2 MARK|1 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

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

Prove theat the greatest interger function defined by f(x)= |x|, 0 lt x lt 3 is not differentiable at x=1 and x= 2.

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(1le x lt2)

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(1.5 lt xlt 2.5)

A continuous random varibale X has probability density function f(x)=kx^(2) 0 le x lt 1 find k P(1 lt x lt 5)

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(x le2)

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(x ge1.5)

If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):} , then which one of the following is true?

The probability density function of X is f(x)={{:(x, 0 lt x lt 1), (2-x, 1 le x lt 2), (0, "otherwise"):} Find P(1.2 le X lt 1.8)

SURA PUBLICATION-PROBABILITY DISTRIBUTIONS-ADDITIONAL QUESTIONS - 1 MARKS
  1. If F(x) is the probability distribution function, then F(infty) is

    Text Solution

    |

  2. If E(x)=1/2, E(x^(2))=1/4 then var(x) is

    Text Solution

    |

  3. If f(x)=Cx^(2), o lt x lt 2 is the p.d.f. of x then c is

    Text Solution

    |

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

    Text Solution

    |

  5. In eight throws of a die, 1 or 3 is considered a success. Then the mea...

    Text Solution

    |

  6. The random variable X has variance 4 and E(x^(2))=8, then the mean of ...

    Text Solution

    |

  7. In a binomial distribution, if the mean is 8 and the variance is 6, th...

    Text Solution

    |

  8. In a binomial distribution, n=4, P(X=0)=16/81, then P(X=4).

    Text Solution

    |

  9. A die is tossed 5 times Getting an odd number is considered a success....

    Text Solution

    |

  10. Var(2x pm 5) is = .

    Text Solution

    |

  11. If the p.d.f. f(x)={{:(x/2",", 0 lt x lt 2), (0",", "elsewhere"):} the...

    Text Solution

    |

  12. The variance of a binomial distribution is .

    Text Solution

    |

  13. In a binomial distribution n=4, P(X=0)=16/81, then P(X=4) is .

    Text Solution

    |

  14. A coin is tossed 3 times. The probability of getting exactly 2 heads i...

    Text Solution

    |

  15. The sum of the mean and variance of a binomial distribution for 6 tota...

    Text Solution

    |

  16. If the mean and variance of a binomial variate are 2 and 1 respectivel...

    Text Solution

    |

  17. A die is thrown 10 times. Getting a number greater than 3 is considere...

    Text Solution

    |

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

    Text Solution

    |

  19. If X is a continuous random variable then p(a lt x lt b)= .

    Text Solution

    |

  20. If X is a continuous random variable then which of the following is in...

    Text Solution

    |