A large manufacturing plant has averaged six "reportable accidents" per month. Suppose that these accident counts over time follow a Poisson distribution. A "safety culture change" initiative attempts to reduce the number of accidents at the plant. After the initiative, there were 5050 reportable accidents during the year.
Based on an average of six accidents per month, use software to determine the probability of 5050 or fewer accidents in a year.
(Use decimal notation. Give your answer to four decimal places.)
P(≤50)=P(X≤50)=