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?

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus2.00, minus1.00, 0, 1.00, 2.00? why? a. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. b. the z score of 0 is most preferable because it corresponds to a test score equal to the mean. c. the z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. d. the z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average