I thought I got the concept below until I did another example the same way but got a different answer ...

The 8 observations of Black/1000 are a random sample from a list of 51 numbers, one for each state and the District of Columbia. The mean of the original list of 51 values of Black/1000 is 587.962, and the SD of the 51 values is 702.734. The percentage of numbers in the original list of 51 that are greater than or equal to 3117.8 cannot be bigger than (pick the smallest correct answer)

Please help .