If `x^(-n)=1/p`, then `p=` ______.

(1 + x)^(n) = p_(0) + p_(1) x + p_(2) x^(2) + … + p_(n) x^(n) , then p_(0) + p_(3) + p_(6) + ….. =

If lim_(x->1)((x^n-1)/(n(x-1)))^(1/(x-1))=e^p , then p is equal to

If n(A)=1 then n{P{P{P(A)}}} is

If (1+x)^(n)=p_(0)+p_(1)x+p_(2)x^(2)+....+p_(n)x^(n) then (p_(0)-p_(2)+p_(4)-p_(6)+....)/(p_(1)-p_(3)+p_(5)-p_(7)+......)=

Let p_(1),p_(2),...,p_(n) and x be distinct real number such that (sum_(r=1)^(n-1)p_(r)^(2))x^(2)+2(sum_(r=1)^(n-1)p_(r)p_(r+1))x+sum_(r=2)^(n)p_(r)^(2)<=0 then p_(1),p_(2),...,p_(n) are in G.P.and when Statement 2: If (p_(2))/(p_(1))=(p_(3))/(p_(2))=...=(p_(n))/(p_(n-1)), then p_(1),p_(2),...,p_(n) are in G.P.

Consider the following statements related to a veriable X having a binomial distribution b_(x)(n,p) 1. If p = 1/2 , then the distribution is symmetrical. 2. p remaining constant, P(X = r) increases as n increases. Which of the statements given above is/are correct?

if (1+x)^(n)=p_(0)+p_(1)x+p_(2)x^(2)+--+p_(n)x^(n) the value of p_(1)-p_(3)+p_(5)+...