In: Statistics and Probability
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27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 49 college students are randomly selected, find the probability that
a. Exactly 11 of them major in STEM.
b. At most 14 of them major in STEM.
c. At least 15 of them major in STEM.
d. Between 10 and 14 (including 10 and 14) of them major in STEM.
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Therefore probability exactly 11 of them major in STEM is 0.10368
Probability that at most 14 of them major in STEM is 0.6667420
Probability that at least 15 of them major in STEM is 0.3332579
Probability that between 10 and 14 major in STEM is 0.55359.
Note for at least 15 case, directly answer of atmost 14 is taken as the value remains the same.