In a large farm, the weights of chickens follow a normal distribution with a mean of ? kg and a standard deviation of ? kg. It is given that the percentage of chickens being lighter than 1.83kg is the...

May I know what is the answer for question c? Your detailed answers will be greatly appreciated!

Extracted text: In a large farm, the weights of chickens follow a normal distribution with a mean of ? kg and a standard deviation of ? kg. It is given that the percentage of chickens being lighter than 1.83kg is the same as the percentage of those being heavier than 3.43kg. Moreover, 89.04% chickens weigh between 1.83kg and 3.43kg. (a) Find ? and ?. (b) If 9 chickens are selected randomly from the farm, find the probability that the mean of their weights lies between 2.5kg and 3.1kg. (c) Is the computation in part (b) rely on the Central Limit Theorem? Explain.