- Blumen is a perfume sold in bottles. The amount of perfume in each bottle is normally distributed. The amount of perfume in a large bottle has mean 50 ml and standard deviation 5 ml . The amount of perfume in a small bottle has mean 15 ml and standard deviation 3 ml .
One large and 3 small bottles of Blumen are chosen at random.
- Find the probability that the amount in the large bottle is less than the total amount in the 3 small bottles.
A large bottle and a small bottle of Blumen are chosen at random.
- Find the probability that the large bottle contains more than 3 times the amount in the small bottle.