`f(x)={{:((A)/(x),1ltxlte^(3)),(0,"elsewhere"):}` is a probability density function of a continuous random of X, find `P(xgte)`

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) .

If F(x)={{:(kx^(3),0ltxlt2),(0,"otherwise"):} is probability density function find k

If f(x) = {(kx^(2),0ltxlt 3),(0,"elsewhere"):} is a probability density function then the value of k is ……. .

If f(x)=k(2x-x^(2)),0lexle1 is probability density function of a continous random variable x then k 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)={{:(2x, 0 le x le a), (0, "otherwise"):} is a probability density function of a random variable, then the value of a is

If f(x) = {(2x,0 lt=xlt=a),(0,"otherwise"):} is a probability density function of a random variable then the value of a is ……….. .

If the function f(x)=1/12 " for " a lt x lt b , represents a probability density function of a continuous random variable X, then which of the following cannot be the value of a and b?