For a Geometric distribution with parameter p = 1/3 ,then the mean and variance are given by

Answer 1

an = a1(r)^(n-1)

is the formula for a term in a geometric sequence

an = a1(1/3)^(n-1)

p= probability of

p=1/3, q=2/3

variance = npq = n(1/3)(2/3) = 2n/9

standard deviation = sqr2n/9 = (sqr2n)/3

mean = np = n/3