Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following: Fear (Elem=.12, Midd=.08, High=.05). Dont fear (Elem=.28, Midd=.25, High=.22). Let F= a student fears the dentist & H= a student is in high school. Find 1. P(H^c), 2. P(F or H), 3. P(F n H^c), and 4. P(F|H). The n in the 3rd probability is the upside down U representing intersection. And determine if F and H are independent. If dependent, indicate direction of dependence.\r\n\r\nI just really need someone to check my answers because I am not sure what I got is correct.\r\n1. 1-.27= .73\r\n2. .25 + .27 - .05 = .47\r\n3. .25 +.73 -.78 = .2\r\n4. .05/.27 = .1852\r\n5. Since P(F)= .25 and P(F|H) = .1852 F and H are dependent. I do not know how to determine the direction of dependence.\r\n\r\nI mainly have a problem with the intersection and conditional probability questions. I am not sure if I am doing it the right way, and if I'm not, I don't know what I am doing wrong. Any help would be appreciated.