Problem 23. (1 point) The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 10 people per hour. The inter-arrival time, X, is defined as the time that passes be- tween successive arrivals of patients seeking medical attention. (a) How much time in minutes would you expect to pass be- tween the arrival of successive patients seeking medical attention at this ER, in any given hour? Enter your answer to two decimals. minutes If you need to use your answer in part (a) for the remaining parts of this question, use two decimals. (b) A person has just arrived at the ER to receive medical at- tention. What is the probability that at most 7 minutes will pass until the next person seeking medical attention arrives? Use four decimals in your answer. If necessary, use your a P(X