The state of New York reported 1484 live births in which the infants had Down syndrome (trisomy 21) between 2006 and 2010, which averages to about 5.7 cases per week. While the causes of Down syndrome are not fully understood, it is reasonable at this point to assume that live births are independent and the weekly rate is constant. Let X be the count of babies born with Down syndrome in the state of New York in a given week. What is the probability that 10 or more children are born with Down syndrome in a given week? Give your answer to four decimal places