A box contains 1000 tickets. The values on the tickets are all different, and a histogram of the ticket values does not follow the normal curve. In fact, there are no values below zero, and the histogram has a long right tail. The average of the ticket values is 50, and the standard deviation is also 50. We draw 200 tickets from the box, with replacement after each draw.

Is it appropriate to use the normal approximation to calculate the probability that the sum of draws falls within a specified interval?

YES or NO (circle one) and explain why or why not.