<P> Here a utility is associated with each of four situations: </P> <Ul> <Li> U 11 (\ displaystyle U_ (11)): One responds with behavior appropriate to H1 and H1 is true: fighters destroy bomber, incurring fuel, maintenance, and weapons costs, take risk of some being shot down; </Li> <Li> U 12 (\ displaystyle U_ (12)): One responds with behavior appropriate to H1 and H2 is true: fighters sent out, incurring fuel and maintenance costs, bomber location remains unknown; </Li> <Li> U 21 (\ displaystyle U_ (21)): One responds with behavior appropriate to H2 and H1 is true: city destroyed; </Li> <Li> U 22 (\ displaystyle U_ (22)): One responds with behavior appropriate to H2 and H2 is true: fighters stay home, bomber location remains unknown; </Li> </Ul> <Li> U 11 (\ displaystyle U_ (11)): One responds with behavior appropriate to H1 and H1 is true: fighters destroy bomber, incurring fuel, maintenance, and weapons costs, take risk of some being shot down; </Li> <Li> U 12 (\ displaystyle U_ (12)): One responds with behavior appropriate to H1 and H2 is true: fighters sent out, incurring fuel and maintenance costs, bomber location remains unknown; </Li>

Briefly describe signal detection theory and explain what influences our detection of stimuli