Cholesterol in undergraduate men. Suppose the distribution of serum cholesterol values in undergraduate men is approximately Normally distributed with mean μ = 190 mg/dL and standard deviation σ = 40 mg/dL.

(a) What is the probability of selecting someone at random from this population who has a cholesterol value that is less than 180?

(b) You take a simple random sample of n = 49 individuals from this population and calculate the mean cholesterol of the sample.

Describe the sampling distribution of .

(c) Regarding the mean derived from a sample of n = 49, what is the probability of getting a sample mean that is less than 180?

[Determine Pr( ≤ 180).]