The amourt of time tatil an acciden. occurs at an industrial facility follows an exposential distrbution with mean 40 days. a) What is the probability that the next accident occurs betw_en 50 and 100 days?b) Wat is the prooability that the time until an accident occur. exceeds the mear. time by more than 2 stai.dard deviations? c) Sunpose it has been at least 30 days with no accidents. What is the probability that it will be at least 80 days until an accident occurs? d) What is the value of the median time until an accident rccura?