Question

A college finds that 8% of students have taken a distance
learning class and that 20% of students are part-time students. Of
the part-time students, 20% have taken a distance learning class.
Let *D* = event that a student takes a distance learning
class and *E* = event that a student is a part-time
student.

Part C: Find *P*(*D OR E*).

Answer #1

There are 120 students registered in a class. Of these
120 students, 52 are Business students (the remaining students
belong to some other faculty). Moreover, 71 students are classified
as 1st-Year students and 20 are 1st-Year students and who are not
Business students.
You are to randomly choose one student from the 120 in
your lecture section. Let HS represent the event that the chosen
student is a Business-student, and
1st represent the event that this chosen student is a...

One group of accounting students took a distance learning class,
while another group took the same course in a traditional
classroom. At α = .10, is there a significant difference
in the mean scores listed below?
Statistic
Distance
Classroom
Mean scores
x⎯⎯1x¯1
= 9.7
x⎯⎯2x¯2
= 10.9
Sample std. dev.
s1
= 2.7
s2
= 2.5
Number of students
n1
= 21
n2
= 21
(a) consider following hypotheses. Assume
μ1 is the mean score of distance learning and
μ2...

3: A statistics instructor believes that fewer than 20% of
Evergreen Valley College students attended the opening night
midnight showing of the latest Harry Potter movie. She surveys 84
of her students and finds that 11 of them attended the midnight
showing.
Let ? = proportion of Evergreen Valley College students that
attended the midnight showing.
A: State the Null and Alternate Hypotheses.
B: Determine the test statistic for the sample.
C: Find the p-value.
D: At a significance level...

Suppose that a certain college class contains
40
students. Of these,
24
are sophomores,
20
are mathematics majors, and
9
are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a sophomore
and a mathematics major?
(b) Given that the student selected is a mathematics major, what
is the probability that he is also a sophomore?
Write your responses as fractions.

What are the breakfast-eating habits of college students? A group
of 460 college students was surveyed over several typical weekdays,
and 322 of them reported that they had eaten breakfast that day.
Let B be the event of interest—that a college student eats
breakfast.
a) Based on this information, what is the estimate of P(B),
the probability that a randomly chosen college student eats
breakfast?
b) Which of the following would provide even more convincing
evidence that, indeed, P(B) is...

The distance students commute at a certain college ranges from 7
to 23 miles. A student is equally likelyto have any commuting
distance within the range. Let X be the random variable
representing the commuting distance by the students at the college.
Answer each question.
Sketch the graph of the density function of X.
What is the probability that a student commutes less than 12
miles?
What is the 77th% percentile of the commuting distance?
It’s also known that X...

In a Math class of 26 students, there are 9 with black hair, 7
with glasses, and 4 with black hair and glasses. Draw a Venn
diagram for this situation.
a) If a student is selected at random, what is the probability
that the student will have black hair or glasses?
b)If a student is selected at random, determine the odds in
favour of the student not having black hair?
c) If TWO students are selected at random, one after...

In a certain state, 30% of students will take an AP class, 40%
of students will play a school sport, and 15% of students will do
both. If we randomly selected a student, find the following:
(a) the probability the student will play a sport, but not take
an AP class.
(b) the probability the student will play a sport, given the
student takes an AP class.
(c) the probability the student plays a sport or takes an AP
class....

At a certain college, 85% of the students use Facebook, 20% use
Twitter, and 35% use Instagram. A
small portion of 5% of students do not use neither Facebook nor
Twitter.
a) What is the probability that a randomly chosen student at the
college uses both Facebook and
Twitter?
b) What is the probability that a randomly chosen student at the
college uses Facebook but not Twitter?
c) Show that in general, for any two events E and F in...

Suppose it is known that 40% of all college students work full
time. Define a success as "a student works full time". (a) If we
randomly select 12 college students, what is the probability that
exactly 3 of the 12 students work full time? (show 5 decimal
places) (b) If we randomly select 12 college students, what is the
probability that at least 3 of the 12 work full time? (show 5
decimal places) (c) In questions (a) and (b)...

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