35% of all college students major in STEM (Science, Technology, Engineering, and Math). If 31 college students are randomly selected, find the following probabilities. Round your answers to 4 decimal places. a. Exactly 12 of them major in STEM. b. At most 11 of them major in STEM. c. At least 10 of them major in STEM. d. Between 10 and 15 (including 10 and 15) of them major in STEM.

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