If `P(X=x)=C((2)/(3))^x;x=1,2,3,4,...` is a mass function, the value of C is

If P(X=x)=C((2)/(3))^x:x=1,2,3,4,.. is a probability mass function, the value of C is

If f(x)=(p^(2)-1)/(p^(2)+1)x^(3)-3x+log2 is a decreasing function of x in,R then the set of possible values of p (independent of x) is

If the function P (X=x) =kx,……x=1,2,3,4,5=0 ….otherwise is a probability mass function (p.m.f.) ,then : k=….

If 16x^(2)-p=(4x-(1)/(3))(4x+(1)/(3)) then find the value of p

The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(x)). For all permissible real values of x is

If mean value theorem holds good for the function f(x)=(x-1)/(x) on the interval [1,3] then the value of 'c' is 2 (b) (1)/(sqrt(3))( c) (2)/(sqrt(3))(d)sqrt(3)

If 2x+1,3x+2 and 4x+3 are in A.P.then find the value of x'.

If the maximum and minimum values of y=(x^(2)-3x+c)/(x^(2)+3x+c) are 7 and (1)/(7) respectively then the value of c is equal to (A)3(B)4(C)5 (D) 6

If (1+x)^(15)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(15)x^(15) and (k=C_(2)+2C_(3)+3C_(4)+ . . .+14C_(15)) then the value of (k-993)/(1000) is equal to______