The below data set considers whether a disease would be present (Y = Yes, disease present, N = No disease present) based on the concentration of a biochemical indicator in the blood.

What would you expect the area under the ROC curve to be for this data set if with a predictive function of x > .5 = Y ? Explain if this is a good score.

Concentration (x)	Disease Present	Y Sum	N Sum	Sensitivity	False Positive Rate
0.95	Y	1	0	0.2	0
0.89	Y	2	0	0.4	0
0.86	Y	3	0	0.6	0
0.77	Y	4	0	0.8	0
0.74	Y	5	0	1	0
0.4	N	5	1	1	0.2
0.38	N	5	2	1	0.4
0.37	N	5	3	1	0.6
0.36	N	5	4	1	0.8
0.33	N	5	5	1	1

Please send me answer in type form strictly prohibited handwritten solution.