Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of z-scores. If X = raw serum cholesterol, then Z X = − µ σ , where µ is the mean and σ is the standard deviation of serum cholesterol for a given age–gender group. Suppose Z is regarded as a standard normal random variable. *5.1 What is Pr(Z < 0.5)? *5.2 What is Pr(Z > 0.5)? *5.3 What is Pr(−1.0 < Z < 1.5)?

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