Can you please help? I'll give a like!

Let X = the time between two successive arrivals at the drive-up window of a |oca\\ bank. IfX has an exponential distribution with A. = 1, (which is identical to a standard gamma distribution with a: = 1}, compute the following. (If necessary, round your answer to three decimal places.) (a) The expected time between two successive arrivals :l (b) The standard deviation of the time between successive arrivals :l (C) 90' S 3) :l (d) Puzgxgs) |:| Mopeds [small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 kmlh and standard deviation 1.75 kmfh. Consider randomly selecting a single such moped. lg USE SALT (a) What is the probability that maximum speed is at most 50 kmlh? (Round your answer to four decimal places.) E (b) What is the probability that maximum speed is at least 49 kmlh? {Round your answer to four decimal places.) (c) What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) E