Home
Class 12
MATHS
The p.d.f of a random variable X is give...

The p.d.f of a random variable X is given by `f(x) = 3(1-2x^(2)), 0 lt x lt 1`
= 0 , otherwise
Find `P((1)/(4)lt X lt (1)/(3))`

A

`128/752`

B

`331/752`

C

`165/864`

D

`179/864`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The p.d.f of a random variable x is given by f(x)=(1)/(4a), 0 lt x lt 4a, (a gt 0) =0, otherwise and P(x lt (3a)/(2))=kP(xgt(5a)/(2) then k= . . .

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.)

The p.d.f. of a continuous random variable X is f(x) = K/(sqrt(x)), 0 lt x lt 4 = 0 , otherwise Then P(X ge1) is equal to

The p.d.f of a continuous random variable X is f(x) = (x^(2))/(3), - 1 lt x lt 2 0 = otherwise Then the c.d.f of X is

If the p.d.f of a continuous random variable X is f(x)=kx^(2)(1-x), 0 lt x lt 1 = 0 otherwise Then the value of k is

The p.d.f of a continous random variable X is f(x)=x/8, 0 lt x lt 4 =0 , otherwise Then the value of P(X gt 3) is

The p.d.f. of a random variable X is (f)x=2x, 0lexle1 =0 , otherwise Then the value of P(1/3 lt X lt 1/2) is

If p.d.f, of continuous random variable X is f(x) = {(2x^3,;0 lt= x lt=1), (0,;" otherwise"):}. Find P (X lt= 0.5) and P (0.5 lt= X lt= 1)

The following is the p.d.f of continuous random variable X. f(x) = (x)/(8), 0 lt x lt 4 =0 , otherwise. Find the expression for c.d.f of X

The following is the p.d.f of continuous random variable X. f(x) = (x)/(8), 0 lt x lt 4 =0 , otherwise. Also , find its value at x = 0.5 , 1.7 and 5

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

    |