If the p.d.f of a continuous random vari...

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

A

(a) 8

B

(b) 10

C

(c) 12

D

(d) 16

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

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

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

If the pdf of continuous random variable X is given as f(x)=x^2/3,-1 =0 ,otherwise. Then c.d.f.X is…….

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

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

The p.d.f. of a random variable X is f(x)=1/5, 0lexle5 =0 , otherwise Then the value of P(1 lt X lt 3) is

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))