Full, answers please. Please be as clear as possible and use Probabilistic System and notice the units and significant figures please! Urgent

At a very busy train station, in 4 weeks, an average of 8,064 high-speed trains are expected to arrive. (a) Choose an appropriate random process to describe the random variable X representing the number of trains arriving at the station in one hour. Determine the PDF of X with its correct parameters. (b) Find Var(X) (don't forget the units!). (c) Find the probability, with 3 significant digits, that at least one train will arrive within five minutes. (d) Find the probability, with 3 significant digits, that 3 high-speed trains will arrive within 10 minutes. DELL