Question

8 people responded to a survey. There are 5 possible options for one question.

1. How many ways can 8 respondents choose 1 option out of 5?

2. What is the probability that 4 respondents will choose one answer and 4 respondents will choose another?

3. What is the probability that 2 respondents will answer option 1, 2 will answer option 2, 2 will answer option 3, and 2 will answer option 4?

Answer #1

1. 15 people are divided into 2 groups one with 5 and the other
with 7 people in them. How many ways are there to do this?
2. 10 people including Mr.Joe and Mr.T are to be seated in a
row. How many ways are there to do this so that they don't sit
together?
Please answer the problems using the easiest method possible.
Thank You

Suppose you and your 4 friends (5 people) are dressing up as the
6 main characters of the first Avengers
movie:
Iron Man, Hulk, Thor, Black Widow, Captain America and
Hawkeye.
(each question is independent of the others.)
(a) How many ways can you do this if all 5 people dress up as a
different character?
(b) How many ways can you do this if 3 of you dress up as the same
character and the
other 2 are different...

This question concerns forming committees of 4 persons from a
group of 10 people.
(a) How many ways are there to choose a committee of 4 persons
from a group of 10 persons, if order is not important?
(b) If each of these outcomes from part (a) is equally likely
then what is the probability that a particular person is on the
committee?
(c) What is the probability that a particular person is not on
the committee?
(d) How many...

Question 7 (1 point)
A survey asks this question "How long did you spend on shopping in
the past week?" The responses (in hours) of 15 people are given
below:
3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3
Find a 95% confidence interval for the mean number of hours
people spent on shopping in the past week.
Question 7 options:
2.18 to 4.14
2.15 to 4.11
2.07 to 4.03
1.94 to 3.90

In
how many ways can 2 red and four blue rooks be placed on am 8 by 8
board so that no 2 rooks can attack one another ?
A roller coaster has 5 cars containing 4 seats 2 in frony and
2 in the back, there are 20 people ready for a ride, how many ways
can the ride begin? what if a certain 2 people want to seat in
different cars?

1. There are 65 students, 35 females and 30 males in a class.
How many ways to choose 3 students so that 1 of them is male?
2. A student is writing a multiple choice test with 20
questions. Each question has 4 possible answers. The student will
randomly choose one of the 4 answers for each question. What is the
probability the student answers at least 2 questions correctly?
(please answer questions step by step)

Q2) Mr. Moore is making a four question quiz. Looking at a bank
of quiz questions there are 15 choices for question one, 2 choices
for question two, 8 choices for question three, and 16 choices for
question four. How many different quizzes can he prepare?
Q3) How many ways can 2 postcards be arranged?
Q4)How many ways can 5 out of 10 post cards be arranged?
Q5) How many ways can 3 out of 10 postcards be chosen?
Q6)...

Question 1
Heights of students in your class.
Question 1 options:
Continuous
Discrete
Question 2
Number of credits that students have at your school.
Question 2 options:
Discrete
Continuous
Question 3
Number of times you ride the bus each week.
Question 3 options:
Discrete
Continuous
Question 4
Time spent on the bus during a week.
Question 4 options:
Discrete
Continuous
Question 5
Speed of a cricket ball.
Question 5 options:
Discrete
Continuous
Question 6
Points scored in a soccer match....

QUESTION 1
How many possible states can be represented by a 5-bit state
register?
QUESTION 2
When a clock signal changes from 1 to 0, this is referred to as
the...
Period
Falling edge
Rising edge
Frequency
QUESTION 3
What is the minimum number of bits required in order for a state
register to represent an FSM with 24 states?
0.5 points
QUESTION 4
What is the clock period for a clock with a frequency of 16
MHz?
Note:...

1.How many possible orderings of letters ABCDEFG are there?
2.How many strings of length 4 can be made using the letters
ABCDEFG?
3.How many subsets of size 4 are there of the letters
ABCDEFG.
4.How many possible strings are there of the letters
"MATTER"?
5.Consider four books: an engineering book (E), a physics book
(P), a history book (H), and an Art book (A).
Consider the following problem:
Suppose that the library has at least six copies of each of...

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