A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34. suppose that, in fact, the total cholesterol level of men aged 20-34 follows the normal...

A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.
suppose that, in fact, the total cholesterol level of men aged 20-34 follows the normal distribution with a mean of 182 milligrams per deciliter. The standard deviation is 37 milligrams per deciliter.

choose an SRS of 1000 men from this population. Now what is the probability that x falls within + or - 2 milligrams per deciliter of the mean?