In a regional market survey, it is observed that approximately 35% of visitors to a specific artisanal craft market make a purchase from a pottery stall.
Determine the probability that in a randomly selected group of 75 visitors, at least 32 of them make a purchase from the pottery stall.
Find the probability that in a randomly selected group of 12 visitors, exactly 5 of them make a purchase from the pottery stall.
Using a suitable approximation, find the probability that in a randomly selected season where there are 1200 visitors to the market, there are at least 450 who make a purchase from the pottery stall.