Home
Class 12
MATHS
Find the constant C, so that F(x)=C((2...

Find the constant C, so that
`F(x)=C((2)/(3))^(x),x=1,2,3………………` is the p.d.f of a discrete random variable X.

Text Solution

Verified by Experts

The correct Answer is:
`=>(2c)/(3)xx3=1=>c=(1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 10 (a) II.|3 Videos

  • RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 7 (d)|4 Videos

  • RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE LAQ - 7 Marks|1 Videos

  • QUESTION PAPER -2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Type questions|7 Videos

  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos

Similar Questions

Explore conceptually related problems

Find the value of f(0) so that f (x) = (1 + 2x)^(1//3x) is continuous at x = 0

Find c so that f'(c)=(f(b)-f(a))/(b-a) " where " f(x)=e^(x), a=0, b=1

A: A random variable X has the range {1,2,3}. If P(X=1)=c, P(X=2)=3c,P(X=3)=6c then c=1//10 . R: If : S rarr R is a discreate random variable with range (x_(1), x_(2), x_(3),…………}" then" sum _(r=1)^(infty) (X=x)=1

The constant c of Lagrange's theorem for f(x)=x(x-1)(x-2) "in" [0,1//2] is

The constant c of Lagrange's theorem for f(x)=(x-1)(x-2)(x-3) "in" [0,4] is

The constant c of Cauchy's mean value theorem for f(x) =x^2,g(x)=x^3 "in" [1,2] is

Let f(x) be a real valued function with domain R such that f(x+p)= 1 +[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) holds good AA x in R and for some +ve constant 'p' then the period of f(x) is