A hint to get started
Find a binomial game limit and a daily-average probability
At a fun-fair stall, the probability of winning a prize in each game is 0.05.
(a) Find the largest number of games in a day if the probability of more than 5 prizes is to be less than 0.1. marks
(b) The stall opens for 70 days, with 60 games each day. Find the probability that the average number of prizes per day is between 2.5 and 3 inclusive. marks
[2010/TJC/II/10(a)&(c)]
CJC · Review problems · Question 5
The strict probability limit in(a) applies to the tail above 5; the inclusive mean interval in(b) includes two integer endpoints.