A fair six-sided die is thrown until a 3 or a 4 is obtained. The number of throws taken is denoted by the random variable \(X\).
(i) State the mean value of \(X\).

(ii) Find the probability that obtaining a 3 or a 4 takes exactly 6 throws.

(iii) Find the probability that obtaining a 3 or a 4 takes more than 4 throws.

(iv) Find the greatest integer \(n\) such that the probability of obtaining a 3 or a 4 in fewer than \(n\) throws is less than 0.95.