On the average, a student takes 105 words/minute midway through an advanced court reporting course at the American Institute of Court Reporting. Assuming that the dictation speeds of the students are normally distributed and that the standard deviation is 17 words/minute, find the probability that a student randomly selected from the course can make dictation at the following speeds. (Give your answers to four decimal places.)

(a) more than 122 words/minute (b) between 122 and 139 words/minute (c) less than 88 words/minute