a. To find the probability that during the next hour exactly 6 patients will be admitted, we can use the Poisson distribution formula: P(X = k) = (e^(-) * ^k) / k! Where: - (lambda) is the average rate of admissions per hour, which is 8 in this case. - k is the number of events we are interested in, which is 6. Plugging in the values: P(X = 6) = (e^(-8) * 8^6) / 6! Calculating this will give you the probability that exactly 6 patients will be admitted in the next hour