A) What is the distribution of the sample mean if samples of size n=922 are taken over and over again?

A) What is the distribution of the sample mean if samples of size n=922 are taken over and over again? B) Sketch this distribution on locate $1000 and $857 on the x-axis. Is a sample mean of $857 surprising in this case? C) Calculate the probability that the sample mean would be between $857 and $1143, that is within 143 of the population mean.