Home
Class 12
MATHS
If X is the random variable with distrib...

If X is the random variable with distribution function F(x) given by , F(x) =`{(o,xlt0),(x,0lt=xlt1),(1,1lt=x):}` then find (i) the probability density function f(x) (ii) `P(0.2lt=Xlt=0.7)` .

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    FULL MARKS|Exercise EXERCISE -11.1|5 Videos
  • PROBABILITY DISTRIBUTIONS

    FULL MARKS|Exercise EXERCISE -11.2|7 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

If X is the random variable with distribution function F(x) given by , F(x) = {{:(0,xlt0),(x^2,0lt=xlt1),(1,xgt1):} then find (i) the Probability density function f(x)

If X is the random variable with distribution function F(x) given by, F(x)={{:(0, x lt 0), (1/2(x^(2)+x), 0 le x lt 1), (1, x le 1):} then find (i) the probability density function f(x) (ii) P(0.3 le X le 0.6)

If X is the random varibale with distribution function F(x) given by F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):} Find probability density function f(x)

If X is the random variable with porbability density function f(x) given by f(x)={(x-1,1lt=xlt2),(-x+3,2lt=xlt3),(0,"otherwise"):} find (i) the distribution function F(x) (ii) P (1.5lt=X lt=2.5)

If X is the random varibale with distribution function F(x) given by F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):} Find P(0.3 lt x lt 0.5)

If X is the random variable with probability density function f(x) is given by f(x)={{:(x+1, -1 le x lt 0), (-x+1, 0 le x lt 1), (0,"otherwise"):} then find (i) the distribution function F(x) (ii) P(-0.5 le X le 0.5)

If x is the random variable with probability mass function given by f(x)={{:(x+1,1lexlt2),(-x+1,2lexlt3),(0 , "otherwise"):} Find P(1.1 lt x lt 25)

FULL MARKS-PROBABILITY DISTRIBUTIONS-Additional Problems
  1. If X is the random variable with distribution function F(x) given by ,...

    Text Solution

    |

  2. Four defective oranges are accidentally mixed with sixteen good ones ....

    Text Solution

    |

  3. Find the probability mass function and the cumulative distribution fun...

    Text Solution

    |

  4. For the distribution function given by F(x)={{:(0",", x lt 0), (x^(2)"...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |