Suppose that the height of a typical female in a community is normally distributed with mean 64 inches and standard deviation of 4 inches. We observe the height of 500 randomly chosen females. Answer the following with appropriate justification. a. What is the probability that fewer than 35 of the 500 women will be less than 58 inches tall? b. Let X be the number among the 500 women who are less than 58 inches tall. Find the mean and standard deviation

Doogan corporation makes a product with the following standard costs: standard quantity or hours standard price or rate direct materials 2.0 grams $ 7.00 per gram direct labor 1.6 hours $ 12.00 per hour variable overhead 1.6 hours $ 6.00 per hour the company produced 5,000 units in january using 10,340 grams of direct material and 2,320 direct labor-hours. during the month, the company purchased 10,910 grams of the direct material at $7.30 per gram. the actual direct labor rate was $12.85 per hour and the actual variable overhead rate was $5.80 per hour. the company applies variable overhead on the basis of direct labor-hours. the direct materials purchases variance is computed when the materials are purchased. the materials quantity variance for january is: