A bag contains 12 marbles. There are more red than green but counting the green and blue together exceeds the number of reds. The total number of yellow and green marvels is more than the total number of red and blue. 1. Find exactly how many of each color there are in the bag. Explain your reasoning.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?