True or False :
In a G.P. `t_(n+1)-tn` is independent of n.

True or false If A and B are two independent events then P(A and B)=P(A)P(B).

True or false If A, B and C are three independent events such that P(A)=P(B)=P( C)=p, then P(atleast two of A, B and C occur)= 3p^2-2p^2

True or false If A and B are independent events, then P(A'cupB)=1-P(A)P(B') .

True or false If A and B are independent then P(exacttly one of A and B occurs)=P(A)P(B')+P(A')P(B).

True or false If A and B are independent events associated with an experiment, then P(AcapB)=P(A)+P(B) .

True or false If A and B are independent events then A' and B' are also independent.

True or false Three events A,B,C are independent if P(AcapBcapC)=P(A)P(B)P(C) .

Suppose that a random variabe X follows Binomial distribution with parameters n and p, where 0 < p < 1 . If [P(X=r)]/[P(X=n-r)] is independent of n and r, then p is equal to

True or False: If f is a periodic function with period p, then underseta overset(a+p)int f(x)dx is independent of 'a'.

True or False : If A is any square matrix, then det (A^n) = (detA)^n where n is any natural number.