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4. The weekly incomes of shift foremen in the glass industry are normally distributed with a mean of $1000 and a standard deviation of $100. (a) What is the z value for the income X of a foreman who earns $1,100 per week? (b) What is the z value for the income X of a foreman who earns $900 per week? (c) What is the likelihood/probability of selecting a foreman whose weekly income is between $1,000 and $1,100 ? (d) What is the likelihood/probability of selecting a foreman whose weekly income is between $790 and $1,000 ? (e) What is the likelihood/probability of selecting a foreman whose weekly income is between $840 and $1,200 ? (f) What is the likelihood/probability of selecting a foreman who earned less than $1,100? (g) What is the likelihood/probability of selecting a foreman who earned less than $790 ? Areas under the Normal Curve