During the night shift in an A&E; department (10 pm to 6am) patients arrived at department requiring emergency treatment The arrival of emergencies may be modeled as a non- homogeneous Poisson process with hourly rate lambda (f) = 2t / 1 + t2, 0 t 8, where t is the elapsed time in hours since 10pm The expected number of emergency admissions by hours after 10pm is expressed as mu(t) = log(1 + t2) Find the probability that at least one emergency is admitted between midnight 0. 0706 0. 2001 0. 7059 0. 7961 Solution B.