You are given the following data sets, X represents the data collected from an infra red (IR) receiver when there was no target in front of the transmitter and Y represents the data collected from an IR receiver when a target was present in the field of view of the transmitter. With these data sets, obtain apriori probabilities. Obtain the probabilities of false alarm, miss and error rates when the threshold is set at 3, 5, and 6. We expect the presence of the target to result in higher values of the measurand. X=[1.6978 7.7368 8.7591 1.9001 0.7486 0.2048 6.1228, 1.6926 2.2690 13.2931];
Y=[11.4976,4.5624,17.0159,5.1402,8. 9841,8.9526,2.0939,6.1407];