The number of pieces of dog food in a one-cup scoop is approximately Normally distributed with a mean of 205 pieces and a standard deviation of 9. 2 pieces. If a random sample of 15 scoops of dog food is selected, what is the probability that the mean number of pieces of food will be less than 200 pieces?
0. 0053
0. 0177
0. 2934
0. 9823