From the Hospital database, it can be determined that some hospitals admit around 50 patients per day. Suppose we select a hospital that admits 50 patients per day. Assuming that admittance only occurs within a 12-hour time period each day and that admittance is Poisson distributed, what is the value of lambda per hour for this hospital? (Round answer to 2 decimal places, e.g. 15.25.) Lambda patients per hour What is the interarrival time for admittance based on this figure? (Round answer to 1 decimal place, e.g. 15.2.) Interarrival time minutes Suppose a person was just admitted to the hospital. What is the probability that it would be more than 30 minutes before the next person was admitted? (Round answer to 5 decimal places, e.g. 0.25168.) Probability What is the probability that there would be less than 10 minutes before the next person was admitted? (Round answer to 5 decimal places, e.g. 0.25168.) Probability