9709 P6 - Nov 2007 - Q6
3081
On any occasion when a particular gymnast performs a certain routine, the probability that she will perform it correctly is 0.65, independently of all other occasions.
(i) Find the probability that she will perform the routine correctly on exactly 5 occasions out of 7.
(iii) On another day she performs the routine n times. Find the smallest value of n for which the expected number of correct performances is at least 8.
