(5 points) The age of all farmers are normally distributed with a mean 51 years old and standard deviaiton 10 years old.

Part A Find X such as 95% of all farmers are younger X years old. (1) Use the Normal table to find the z-score assoicated with X . (Round the z-score to 3 decimal places if possible) (2) Find X . (Round X to 3 decimal places if possible)

Part B Find X such as 14% of all farmers are older than X years old. (1) Use the Normal table to find the z-score assoicated with X . (Round the z-score to 3 decimal places if possible) (2) Find X . (Round X to 3 decimal places if possible)

Part C About middle 50% of farmers between years old and years old. (Rounding the answer to 3 decimal places if possible