If `P(x) =x+3,` then `p(x)+p(-x) ` is equal to

A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X= 3) = 2P(X= 1) and P(X= 2) = 0.3 , then P(X= 0) is equal to

If X be a random variable taking values x_(1),x_(2),x_(3),….,x_(n) with probabilities P_(1),P_(2),P_(3) ,….. P_(n) , respectively. Then, Var (x) is equal to …….. .

Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x epsilon[0,1],p(0)=1 and p(1)=41 . Then int_(0)^(1)p(x)dx is equals to (a) 42 (b) sqrt(41) (c) 21 (d) 41

Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=6 . If (u'(x))/(v'(x))=p and ((u(x))/(v(x)))'=q then value of (p+q)/(p-q) is equal to

If z = x - iy and z'^(1/3) = p +iq, then 1/(p^2+q^2)(x/p+y/q) is equal to

If z = x - iy and z'^(1/3) = p +iq, then 1/(p^2+q^2)(x/p+y/q) is equal to

If p(x)=x^(2)-2sqrt(2)x+1 , then p (2sqrt(2)) is equal to

If P(x) is a polynomial such that P(x^(2)+1)={P(x)}^(2)+1 and P(0)=0, then P'(0) is equal to

Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P(x) is equal to

If X follows Binomial distribution with parameters n=5, p and P(X=2)=9P(X=3), then p is equal to ……. .