30% of all college students major in STEM (Science, Technology, Engineering, and Math). Round your answers to four decimal places. If 50 college students are randomly selected, find the probability that a. Exactly 15 of them major in STEM.  b. At most 15 of them major in STEM.  c. At least 12 of them major in STEM.  d. Between 12 and 16 (including 12 and 16) of them major in STEM.

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