In Restaurant Bijoux 13% of customers rated the food as ‘poor’, 22% of customers rated the food as ‘satisfactory’ and 65% rated it as ‘good’. A random sample of 12 customers who went for a meal at Restaurant Bijoux was taken.

i. Find the probability that more than 2 and fewer than 12 of them rated the food as ‘good’. On a separate occasion, a random sample of n customers who went for a meal at the restaurant was taken.

ii. Find the smallest value of n for which the probability that at least 1 person will rate the food as ‘poor’ is greater than 0.95.