On average, a student takes 100 words/minute midway through anadvanced court reporting course at the American Institute of CourtReporting. Assuming that the dictation speeds of the students arenormally distributed and that the standard deviation is 20words/minute, find the probability that a student randomly selectedfrom the course can take dictation at the following speeds. (Roundyour answers to four decimal places.)
(a) more than 140 words/minute
(b) between 40 and 140 words/minute
(c) less than 40 words/minute
