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.

If X is a discrete random variable P(X gta) is equal to

Find k, if the function f defined by f(x) = kx, 0 lt x lt 2 =0 , otherwise is the p.d.f of a random variable X.

The c.d.f. of a discrete r.v.x is Then P(X le 3|X gt 0)=

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(1le x lt2)

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(x ge1.5)

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(x le2)

Find the constant C such that the function f(x)=C(2x+3x^(2))1lt xlt 3 =0 otherwise is a density functino and compute P(1.5 lt xlt 2.5)

c.d.f F(x) of a continous random variable X is defined as .

Find out the correct answer out of the options given against each question: If p.d.f. of a random variable X is given by f(x) = 1 if -1/2 < x < 1/2. Then P(X = 0) is-