Assume that 30 different aircraft will land to a runway sequentially, and the times between the arrival of the consecutive aircraft are modelled via Exp(0.5) independent distributed random variables. We want to calculate the probability P(T₁+T₂ + ···+T30 < 60) of the all aircraft landing within an hour. Calculate this probability: a) Coding the required algorithm b) Using the normal approximation of this probability (i.e., central limit theorem)
