Home
Class 12
MATHS
X is continuous random variable with pro...

X is continuous random variable with probability density function `f(x)=(x^(2))/(8),0 le x le 1`. Then, the value of `P(0.2leXle0.5)` is

A

`0.117/24`

B

`0.112/24`

C

`0.117/36`

D

`0.112/36`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Competitive Thinking|9 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

Similar Questions

Explore conceptually related problems

Let X is a continuous random variable with probability density function f(x)={{:(x/6+k,0lexle3),(0," otherwise"):} The value of k is equal to

The function f(x)=cos x, 0 le x le pi is

If X is the a random variable with probability mass function P(x) = kx , for x = 1,2,3 = 0 , otherwise then k = ……..

If f (x) =x ^(2) -6x +5,0 le x le 4 then f (8)=

If the p.d.f of a random variable X is F(x)={(0.5x, 0lexle2), (0, "otherwise"):} Then the value of P(0.5 le X le 1.5) is

If the probability density function of a random variable X is given as then F(0) is equal to

If the probability density function of a continuous random variable X is f(x)={{:((3+2x)/(18),2lexle4),(0,xlt2" or"xgt4):} Then the mathematical expectation of X is

If the probability density function of a random variable X is f(x)=x/2 in 0 le x le 2 , then P(X gt 1.5 | X gt 1) is equal to

The p.d.f of continuous random variable X is given by f(x)=x/8,0 lt x lt 4 =0 otherwise. Find (i) P(X lt 2) (ii) P(2 lt X le 3) ( iii) P( X gt 3.)

TARGET PUBLICATION-PROBABILITY DISTRIBUTION-Critical Thinking
  1. If the probability mass function of a discrete random variable X is ...

    Text Solution

    |

  2. A fair coin is tossed 3 times. Let X be the number of heads obtained...

    Text Solution

    |

  3. If a coin is tossed twice and X is the number of tails, then var(X)=

    Text Solution

    |

  4. Two dice are thrown simultaneously. If X denotes the number of sixe...

    Text Solution

    |

  5. A pair of dice is thrown and X denotes the sum of the numbers on upper...

    Text Solution

    |

  6. The p.m.f. of a r.v. X is P(x) =1/15, for x =1,2, .......... , 14,1...

    Text Solution

    |

  7. The p.m.f. of a r.v. X is P(x) = {((2x)/(n(n+1)), x=1","2","....","n),...

    Text Solution

    |

  8. A bakerman sells 5 types of cakes. Profit due to the sale of each type...

    Text Solution

    |

  9. If a c.r.v. X has the probability density function f(x) = C(9-x^(2)...

    Text Solution

    |

  10. If the p.d.f of a continuous random variable X is f(x)=kx^(2)(1-x), ...

    Text Solution

    |

  11. Let X is a continuous random variable with probability density functio...

    Text Solution

    |

  12. The p.d.f of a random variable X is given by f(x) = 3(1-2x^(2)), 0 lt...

    Text Solution

    |

  13. The p.d.f. of a continuous random variable X is f(x) = K/(sqrt(x)), 0...

    Text Solution

    |

  14. The p.d.f. of X is f(x)={{:((x+2)/(18)","-2ltxlt4),(0", otherwise"):},...

    Text Solution

    |

  15. X is continuous random variable with probability density function f(x)...

    Text Solution

    |

  16. If the p.d.f. of a r.v. X is f(x)= K.e^(- theta x), theta gt 0 , 0 l...

    Text Solution

    |

  17. If p.d.f. of a a c.r.v. X is f(x) = ae^(-ax) , x ge 0, a gt 0 = 0 ...

    Text Solution

    |

  18. The p.d.f. of a r.v. X is f(X)(x)={{:((k)/(sqrt(x))","0ltxlt4),(0", ot...

    Text Solution

    |

  19. The p.d.f. of a r.v. X is f(x)={{:((1)/(x^(2))","1ltxltoo),(0", otherw...

    Text Solution

    |

  20. Let X = time (in minutes ) that lapses between the bell and the e...

    Text Solution

    |