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 λ(t) = 2t/(1+t2), 0 ≤ t ≤ 8 find the probability that at least one emergency is admitted between midnight and 2am. enter your answer in three decinal points. provide answer to three decimal places

Woodland bicycles makes two models of off-road bicycles: the explorer, which sells for $250, and the grande expedition, which sells for $350. both models use the same frame, but the painting and assembly time required for the explorer is 2 hours, while the time is 3 hours for the grande expedition. there are 375 frames and 450 hours of labor available for production. how many of each model should be produced to maximize revenue? a. 200 explorers 50 grande expeditions c. 225 explorers 0 grande expeditions b. 150 explorers 10 grande expeditions d. 325 explorers 50 grande expeditions