Question: Sebastian’s Concerts

The great crab composer, Sebastian needs to develop a budget for his musical theatre company. He needs to forecast his annual charitable contributions from the Merpeople community. Last year’s contributions were normally distributed and averaged 520 clamshells per year per family with a standard deviation of 45 clamshells. There are 12430 contributing Merpeople families this year. In order to put on a musical adaptation of Jaws, he needs increased donations. He is considering offering incentives to his donors to encourage increased donations (preferred seating, new seashells, etc)

1. What percentage of Merpeople families contributes less than 450 clamshells per year?
2. What percentage contributes between 450 clamshells and 540 clamshells per year?

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