A random variable X has its range (1 2 3} If` P(X=1)=alpha P(X=2)=beta, p(X=3)=(1)/(6)` and the mean is` (5)/(3) `then `alpha , beta=`

A random variable X has its range {-1,0,1} . If its mean is 0.2 and P(X=0)=0.2 ,then P(X=1)=

If a random variable X has a poisson distribution such that P(X=1)=P(X=2), its mean and variance are

If alpha,beta and 1 are the roots of x^(3)-2x^(2)-5x+6=0 then (alpha,beta)=

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alpha,beta are the zeroes of the polynomial x^(2)-p(x+1)-q , then (alpha+1)(beta+1)=

If alpha, beta are the zeros of the polynomial f(x) = x^2 – 3x + 2 , then find 1/alpha + 1/beta .

If alpha and beta are zeroes of the quadratic polynomial p(x)=6x^(2)+x-1, then find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta

The equation x^(2) + px +q =0 has two roots alpha, beta then Choose the correct answer : (1) The equation qx^(2) +(2q -p^(2))x +q has roots (1) alpha /beta , beta/alpha (2) 1/alpha ,1/beta (3) alpha^(2), beta^(2) (4) None of these (2) The equation whose roots are 1/alpha , 1/beta is (1) px^(2) + qx + 1 =0 (2) qx^(2) +px +1 =0 (3) x^(2) + qx + p =0 (4) qx^(2) +x+ p =0 3. the values of p and q when roots are -1,2 (1) p = -1 , q = -2 (2) p =-1 , q =2 (3) p=1 , q = -2 (4) None of these

If alpha and beta are the zeros of the quadratic polynomial p(s)=3s^(2)-6s+4, find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta