A lаrge hоspitаl netwоrk mоnitors the number of new pаtient admissions for acute asthma exacerbations during peak allergy season. On average, there are 3000 such admissions every month across the network. Assume that these admissions occur independently and at random times. [a] What probability distribution describes the number of asthma-related admissions in a single day? [b] What is the probability of at least 100 admissions in one day during the month of May? Round your answer to 3 significant figures [c] What was the average number of admissions per day in May? Round your answer to 3 significant figures