Asample of the parts is taken from each shift (1, 2, or 3) in a manufacturing operation to investigate the relationship between the shift and the quality of parts (conforming or nonconforming being produced. The number of conforming and nonconforming parts per shift is summarized in the table below: Shift 1 Shift 2 Shift 3 Total Conforming 370 285 175 830 Nonconforming 30 15 25 70 Total 400 300 200 900 Which of the following is the conditional distribution for part quality? Shift 1 Shift 2 Shift 3 Total Conforming 0.4458 0.3434 0.2108 1 Nonconforming 0.4286 0.2143 0.3571 1 Shift 1 Shift 2 Shift 3 Total Conforming 0.4111 0.3167 0.1944 0.9222 Nonconforming 0.0333 0.0167 0.0278 0.0778 Total 0.4444 0.3334 0.2222 O None of these Shift 1 Shift 2 Shift 3 Conforming 0.9250 0.9500 0.8750 Nonconforming 0.0750 0.0500 0.1250 Total 1 1,

An art museum owns a painting that it would like to reproduce in reduced size onto a 24-inch by-36-inch poster. The painting is 85 inches by 140 inches. Give your recommendation for the size of the reproduced painting on the poster- how wide and long do you suggest that it be? Draw a scale picture showing how you would position the reproduced painting on the poster. Explain your reasoning.

explain similar shapes