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4) A small hospital has 3 ICU beds for critical COVID-IQ patients. The hospital staff have also set up a temporary trolley in the hallway Where one sick patient can wait until a bed becomes free in the ICU. An arriving patient will be turned away if all beds and the trolley are occupied. On average 1 new critical COVID-IQ patient arrives each day, and the average time spent in the ICU is 3 days. Assume that this system is described by a M /M / 3/ 4 queue. Write p\" to denote the probability of nding n patients in the ICU and trolley. a) Write down the values of /\\ (arrival rate) and ,u. (service rate). State the units in both cases. b) Write down the four rate balance equations for the probabilities p0, p1, p2, p3, 1534. c) By solving the rate balance equations write 301, p2, 103,294 in terms of pg. (1) Use the normalization condition 390 + 191 + 392 + 103 + 304 = 1 to compute p0. c) Find the fraction of arriving patients that are turned away