1. The table below gives the status of patients registered a dental insurance company regarding the periodontal status and their gender. ( Periodontal status refers to gum disease where individuals are classified as either healthy, have gingivitis, or have periodontal disease.) Healthy Gingivitis Perio. Disease Male 1143 929 937 Female 1605 1351 853 a. If a patient is selected at random, what is the probability that the patient is a male given that the patient has Gingivitis? b. If a patient is selected at random, what is the probability that the patient has Periodontal disease or Gingivitis? 2. A recent survey revealed that 37 % of College students exercise regularly. a. If 5 College students are selected at random, what is the probability that all of them exercise regularly? b. If 4 students are selected randomly, what is the probability that at least one of them exercises regularly? 3. A password for a secirity system at a home consists of a combination of 8 entries. Each entry can be either a letter (only upper case letters are in the keypad), or a 1-digit number. a. How many passwords are possible if there are no restrictions? b. How many passwords are possible if the no entry can be repeated? 4. A shipment of 50 lamps includes 10 that are defective. A departmental store will receive 20 of these lamps a. What is the probability that the store will receive exactly 5 of the defective lamps? b. What is the probability that the store will receive at least one defective lamp