A biotechnology company partially finances 44 ongoing research projects at several North American universities. The annual support granted for each project is determined by the progress of the project and has a mean of $22,111 and a standard deviation of $8189. The company has an annual budget of $1,000,000 for supporting research activities. What is the probability that the support granted for 44 projects will exceed the annual budget?
Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.