In a computer game, the probability that the player hits the target is 0.4 for each attempt and the result of each attempt is independent of all others. Find

(a) the probability that he hits the target for the first time on the fourth attempt,

(b) the mean number of attempts needed to hit the target,

(c) the standard deviation of the number of attempts,

(d) the most likely number of attempts to hit the target,

(e) the probability that he takes more than seven attempts to hit the target.