Question
In: Statistics and Probability
Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and...
Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and 20% are seniors. 40% of the first-year students are women, 60% of the sophomores are women, 40% of the jumiors are women, and 60% of the seniors are women. Every student is in one and only one of these classes.
1. What is the probability that a randomly selected student will NOT be a junior?
2. What is the probability that a randomly selected student will be EITHER a junior or a senior?
3. What is the probability that a randomly selected student will be EITHER a woman or a junior?
4. What is the probability that a randomly selected student will be BOTH a senior and a man?
5. If we randomly select three names off the total student list (we might select the same name twice or even three times), what is the probability of picking a woman's name at least once?
6. If we randomly select two names off of the total student list (we might select the same name twice), what is the probability of picking the name of one sophomore and one junior in any order?
Solutions
orchestra answered 2 years agoRelated Solutions
A nationwide award for high school students is given to outstanding students who are sophomores, juniors,...
A nationwide award for high school students is given to
outstanding students who are sophomores, juniors, or seniors
(freshmen are not eligible). Of the award-winners, 65 percent are
SENIORS, 20 percent JUNIORS, and 15 percent are SOPHOMORES.
Note: Your answers should be expressed as decimals rounded to
three decimal places.
(a) Suppose we select award-winners one at a time and continue
selecting until a SENIOR is selected. What is the probability that
we will select exactly three award-winners?
(b) Suppose...
A nationwide award for high school students is given to outstanding students who are sophomores, juniors,...
A nationwide award for
high school students is given to outstanding students who are
sophomores, juniors, or seniors (freshmen are not eligible). Of the
award-winners, 60 percent are SENIORS, 24 percent JUNIORS, and 16
percent are SOPHOMORES.
Note: Your answers should be expressed as decimals rounded to
three decimal places.
(a) Suppose we select award-winners one at a time and continue
selecting until a SENIOR is selected. What is the probability that
we will select exactly three award-winners?
(b) Suppose...
A college basket ball team has 15 players, 5 seniors, 8 juniors, and 2 sophomores. Two...
A
college basket ball team has 15 players, 5 seniors, 8 juniors, and
2 sophomores. Two players are randomly selected to serve as captain
for the next game, what’s he probability both selected are
seniors?
Rework problem 25 from section 3.2 of your text, involving choosing freshmen, sophomores, and juniors. For...
Rework problem 25 from section 3.2 of your text, involving
choosing freshmen, sophomores, and juniors. For this problem,
assume that three students are chosen from 3 freshmen, 6
sophomores, and 5 juniors. What is the probability of selecting 2
freshmen and 1 junior given that at least one freshman will be
selected?
A club has 50 members of which 20 are freshmen, 15 are sophomores, 10 are juniors...
A club has 50 members of which 20 are freshmen, 15 are
sophomores, 10 are juniors and 5 are seniors.
a) How many ways are there to select a president, a
senior vice president, and a vice president if they can not be from
the same class?
b) How many ways are there to select one president, and
two vice presidents if they can not be from the same
class?
Question 2: A club has 20 members. Five are seniors, four are juniors, two are sophomores...
Question 2: A club has 20 members. Five are seniors, four are
juniors, two are sophomores and nine are freshmen. A. In how many
ways can the club select a president, a secretary and a treasurer
if every member is eligible for each position and no member can
hold two positions? B. In how many ways can the club choose a group
of 5 members to attend the annual meeting. C. In how many ways can
the club choose a...
1. The mean age of College students is 25. A certain class of 33 students has...
1. The mean age of College students is 25. A certain class of 33
students has a mean age of 22.64 years. Assuming a population
standard deviation of 2.87 years, at the 5% significance level, do
the data provide sufficient evidence to conclude that the mean age
of students in this class is less than the College mean?
a. Set up the hypotheses for the one-mean ?-test. ?0:
??:
b. Compute the test statistic. Round to two decimal places.
c....
CCA has stated in 2017 that 37.5 % of its students are first generation college students....
CCA has stated in 2017 that 37.5 % of its students are first
generation college students.
Suppose you sample 15 CCA students and ask if they are first
generation college students or not, counting the number of first
generation students.
a. Create a binomial probability distribution (table) for this
situation.
(Report answers accurate to 4 decimal places.)
k
P(X = k)
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
a. What is...
CCA has stated in 2017 that 84.3 % of its students are first generation college students....
CCA has stated in 2017 that 84.3 % of its students are first
generation college students. Suppose you sample 15 CCA students and
ask if they are first generation college students or not, counting
the number of first generation students. a. Create a binomial
probability distribution (table) for this situation. (Report
answers accurate to 4 decimal places.)
BINOMIAL PROBABILITY TABLE:
k P(X = k)
0 8.6795E-13 Correct
1 6.99059E-11 Correct
2 2.627 Incorrect
3 6.1135 Incorrect
4 9.8478E-07 Correct
5...
A recent study of college students indicates that 30% of all college students had at least...
A recent study of college students indicates that 30% of all
college students had at least one tattoo. A small private college
decided to randomly and independently sample 15 of their students
and ask if they have a tattoo. Find the standard deviation for this
distribution.
Select one:
4.50
1.77
3.55
3.15
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