A busy restaurant determined that between 6:30 P. M. and 9:00 P. M. on Friday nights, the arrivals of customers are Poisson distributed with an average arrival rate of 4.15 per minute. *(Round your answer to 2 decimal places.) **(Round your answer to 4 decimal places.) (a) What is the probability that at least 14 minutes will elapse between arrivals? (b) What is the probability that at least 8 minutes will elapse between arrivals? (c) What is the probability that at least 1 minute will elapse between arrivals? ** (d) What is the expected amount of time between arrivals?