Home
Class 12
MATHS
If a continuous random variable X has th...

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)`.

Text Solution

Verified by Experts

The correct Answer is:
`1/16`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 5 MARKS|4 Videos

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 2 MARKS|4 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

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.

F(X)=(pi)/(2+tan^(-1))(x)/(pi)-inftyltxltinfty is a distribution of a continous random variable X then P(X le 1) is

If F(x)=(A)/(pi)=(1)/(16+x^(2))-inftyltxltinfty is a pdf of a continous random variable x then the value of A is

If f(x) = (A)/(pi)(1)/(16+x^(2)),0 ltx lt oo is a probability density function of a continuous random variable X then the value of A is ……… .

If f(x) = (A)/(x), 1 lt x lt e^(3) is a probability density function of a continuous randdom variable X find A and P (X gt e) .

A continuous random variable k follows the probability law f(x) = {{:(kx (1-x)^(10) , 0 lt x lt 1,),(,,"find" k.),(0, "otherwise",):}

If a continous random variable f(x)=(k)/(x^(2)+16)-inftyltxltinfty then the value of k is

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