Owners of an Exercise Gym Believe That a Normal Model $\underline{\quad\quad}$

Essay

Owners of an exercise gym believe that a Normal model is useful in projecting the number of clients who will exercise in their gym each week. They use a mean of 800 clients and a standard deviation of 90 clients.
a. Draw and clearly label this model.



b. What is the first quartile of the weekly number of clients? [Show work]
c. An owner of another gym reports that 5% of the time their gym has fewer than 450 clients, and 40% of the time the gym has more than 1085 clients. What parameters should that owner use for his Normal model? N( $\underline{\quad\quad}$ , $\underline{\quad\quad}$ )