Question

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

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)

30% of all college students major in STEM (Science, Technology,
Engineering, and Math). If 30 college students are randomly
selected, find the probability that
a. Exactly 7 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 5 and 13 (including 5 and 13) of them major in
STEM.

27% of all college students major in STEM (Science, Technology,
Engineering, and Math). If 44 college students are randomly
selected, find the probability that exactly 11 of them major in
STEM.

28% of all college students major in STEM (Science, Technology,
Engineering, and Math). If 39 college students are randomly
selected, find the probability that exactly 11 of them major in
STEM

78% of all students at a college still need to take another math
class. If 36 students are randomly selected, find the probability
that
a. Exactly 27 of them need to take another math class.
b. At most 27 of them need to take another math class.
c. At least 27 of them need to take another math class.
d. Between 23 and 30 (including 23 and 30) of them need to take
another math class.

An ambitious statistical-education researcher wants to analyze
the typical statistical skills of STEM (science, technology,
engineering, and math) majors across the country. They have an exam
they plan on giving to sampled college students who are majoring in
a STEM field, but they need to choose how to sample college
students. Which of the following are considered good sampling
methods?
Select one or more:
a. The researcher can go to their local university and get all
the STEM majors there...

An ambitious statistical-education researcher wants to analyze
the typical statistical skills of STEM (science, technology,
engineering, and math) majors across the country. They have an exam
they plan on giving to sampled college students who are majoring in
a STEM field, but they need to choose how to sample college
students. Which of the following are considered good sampling
methods? Select one or more:
a. The researcher can go to their local university and get all
the STEM majors there...

At a certain college,
53%
of the students are female, and
17%
of the students major in civil engineering. Furthermore,
12%
of the students both are female and major in civil
engineering.
(a)What is the probability that a randomly selected female
student majors in civil engineering? Round your answer to the
nearest hundredth.
(b)What is the probability that a randomly selected civil
engineering major is female? Round your answer to the nearest
hundredth.

Suppose that 30% of all college students smoke cigarettes. A
sample of 14 is selected randomly. What is the probability that at
least 2 students smoke? Round your answer to four decimal
places.

1)
The BCC Dean of Instruction selected a random sample of 250 BCC
students and found that 30% of them were interested in pursuing
STEM (science, technology, engineering, and mathematics)
careers.
Which of the following is a 95% confidence interval of the
proportion of all BCC students interested in STEM careers?
Round the standard error to three decimal places when
calculating your answer.
Group of answer choices
.299 to .301
.271 to .329
.243 to .357
.250 to .350

At a state university on the west coast, 13% of undergraduate
students are of Asian origin. Among students of Asian origin, 11%
major in Humanities, 7% in Social Sciences, 31% in Biological and
Physical Sciences, 36% in engineering, and the remaining 15% in
Business. Among students of other ethnicities, 19% major in
Humanities, 16% in Social Sciences, 12% in Biological and Physical
Sciences, 18% in engineering, and the remaining 35% in Business.
One undergraduate student is randomly selected from this...

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