Four sophomores, five juniors and six seniors have volunteered
to serve on a committee consisting of five people. In how many ways
can the membership of the committee be selected under the following
restrictions respectively?
(a) Any of the volunteers can serve on the committee.
(b) Only seniors can serve on the committee.
(c) At least one senior must serve on the committee.
(d) At least two juniors and at least two seniors must serve on
the committee.
(e) At...
1.
A football team consists of 18 freshmen and 18 sophomores, 15
juniors, and 12 seniors.
Four players are selected at random to serve as captains. Find
the probability that at least 1 of the students is a senior.
2.
If a gambler rolls two dice and gets a sum of 10, he wins $10,
and if he gets a sum of
three, he wins $20. The cost to play the game is $5. What is the
expectation of this...
Do freshmen, sophomores, juniors and seniors have the same mean
number of hours of homework each week? Test at the alpha = .05
level with the following random sample.
Freshmen: { 15, 12, 20, 25}
Sophomores: {20, 12, 14, 15}
Juniors: {25, 10, 10, 15}
Seniors: {15, 12, 12, 14, 9}
Using the given alpha and p-value, what is your conclusion in
plain English?
a) There is not enough evidence to suggest that the population
means are equal.
b)...
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...
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?
Assume that the class consists of 40 percent freshmen, 20
percent sophomores, 20 percent juniors, and 20 percent seniors.
Assume further that 40 percent of the freshmen, 45 percent of the
sophomores, 40 percent of the juniors, and 20 percent of the
seniors plan to go to medical school. One student is selected at
random from the class. (1) What is the probability that the student
plans to go to medical school? equation editorEquation Editor (2)
If the student plans...
A teacher was interested in the mathematical ability of
graduating high school seniors in her state. She gave a 32-item
test to a random sample of 15 seniors with the following results:
mean = 1270, and standard deviation = 160. Find the 95% confidence
interval and write a sentence describing what it means. Show your
work.
A teacher hypothesizes that the final grades in her class (N =
54) are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8%
F's. At the end of the semester, she has the following grades: A B
C D F 6 14 22 8 4 Considering the statement above, what are the
expected frequencies for grades A and F respectively?
An anatomy teacher hypothesizes that the final grades in her
class are distributed as
10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of
the semester, she has the following grades.
A 12B 20C 25D 13F 5
Test her claim at 1% significance level.