4. (10 points) The time-between-patient arrivals to a busy emergency room is well modeled by an exponential distribution with population mean of 45 minutes. Find the probability that there are more than 35 patient arrivals to the emergency room in a particular 24-hour period. Hints: . Make sure that your time units throughout this problem are consistent. . Make sure that you pay attention to what is a rate and what is a mean time. . Recall the relationship between the exponential distribution and the Poisson distribution. . It is o.k. to use R to evaluate your solution; but make sure that you include a "snip- and-paste" copy of your R code and solution.