Sensor is connected an alarm. Sensor sets alarm on with probability 0.95 if dangerous conditions exist in a given day and sets alarm on with probability 0.005 if conditions are not dangerous during the day. And the days with dangerous conditions occur with probability 0.005.

  1. Probability of sensor turning alarm on?
  2. Probability that conditions are normal when the alarm triggers on?
  3. Probability that conditions are dangerous when the alarm does not triggers on?
  4. How many false alarm (situation described in A) and how many unidentified critical conditions (situation described in B) during a 5-year period?