Question

True or false.

If the probability of success during a 4th event of a geometric experiment is 0.0729, the probability of success during the 5th experiment could be 0.06561.

(I think it's true I just wanted to check, thanks!)

Answer 1

p(1) = p
p(2) = qp
p(3) = q^2*p
p(4) = q^3*p = 0.0729
p(5) = q^4*p = 0.06561

Why do you think it is true?

Answer 2

I think its true because^3*(1-p) = 0.0729
p^4*(1-p) = 0.06561
p = 0.06561/0.0729 = 0.9 and sinces 0≤p≤1, it is a valid probability

Answer 3

and since 0<=p<=1 it is a valid probability

Answer 4

or at least i think so