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30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 38 college...

30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 38 college students are randomly selected, find the probability that

a.Exactly 9 of them major in STEM

b.At most 11 of them major in STEM

c.At least 13 of them major in STEM.

d.Between 9 and 16 (including 9 and 16) of them major in STEM

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

This can be solved using the Binomial distribution.

The probability that the college students major in the STEM is p = 0.30,

q = 1 - p = 0.70

The total number of trials(college students): n = 48

Let X be the random variable for the number of college students major in STEM

a)

b)

c)

d)

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