A device has a sensor connected to an alarming system. The sensor triggers with probability 0.95 if dangerous conditions exist in a given day and with probability if conditions are normal during the day. Days with dangerous conditions occur with probability 0.005 . Given the above: a) What is the probability of false alarm, i.e. the probability that conditions are normal when the alarm system triggers? Major Topic Probability Theory Blooms Designation CR Score 7 b) What is the probability of unidentified critical condition, i.e. the probability that conditions are dangerous when the system does not trigger? Major Topic Probability Theory Blooms Designation EV Score 7 c) How many false alarms and how many unidentified critical conditions should be expected to occur during a 10- year period? Comment on the effectiveness of the alarming system. Major Topic Extension of Probability Blooms Designation CR Score 6 d) Events and are mutually exclusive. If , and , the events and are not independent. Explain