Quote: A Concise Course in Advanced Statistics - Crawshaw, Pg. 277 Question 10.

X~Geo(p)and the probability that the first success is obtained on the second attempt is 0.1275.

Ifp > 0.5, findP(X > 2).

Textbook ANS:0.7225

Reminding, Geometric Model:

, And to the limit

Where,

: rth attemptr

: the probability of failureq

: the probability of successp

(the probability of success) is a constant, but I have trouble understanding whatpreally means from the quoted question above.p> 0.5

Does it means a range of values ofthen how to solve the question,p

or it just simply requires one constant= 0.6.p

If that is so, there I am trying to solve it as follows:

Therefore,

=0.2725

You are welcome to give your help. Thanks.