the questions are below?

Question

1. Three marbles are to be drawn successively from a bag that contains 4 white marbles, 2 red marbles, and 3 green marbles. (Note that the marbles are not replaced after they are drawn from the bag.) What is the probability that the first marble drawn is white and the second marble drawn is red and the third marble drawn is green?
a. 1/21
b. 1/63
c. 8/243
d. 8/729

2. Using the word "order" explain the difference between permutations and combinations.


3. Given a data set with a symmetric frequency distribution, a mean of 63, and a standard deviation of 3.
a. Approximately 68.3% of the data points are between 57 and 69.
b. Approximately 68.3% of the data points are between 60 and 66.
c. Approximately 95.4% of the data points are between 54 and 72.
d. Approximately 95.4% of the data points are between 60 and 66.

4. Give an example of a stratified sample

5. Give an example of a random sample.

Answer 1

1. P(WRG) = 4/9 • 2/8 • 3/7 = 1/21

2. Order matters in permutations (arrangements) like license plates; order does not matter in combinations like lottery tickets and poker hands.

3. b. 68% of a normal distribution is between mean ± 1 standard deviation. but there are symmetric distributions that are not normal ones.

4. in a high school opinion poll, take 50 randomly chosen freshmen, 50 randomly chosen sophomores, 50 juniors, 50 seniors.

5. in a high school opinion poll, with the student body roster in alphabetical order, pick every 20th student.

Answer 2

THATS SO EASY after you figure the probibillity of them all you have to do is 4/9 for the white2/19 for the white and 3/27 for the green THEN YOU SIMPLIFY

Answer 3

1. 4*2*3/(9*8*7) = 1/21

2. 5P5 = 5! = 120, 5C5 = 1

3. ...

Answer 4

hm sory im sooo sleepy i cant be bothered to read urs. u no wot the time is 6:08 in A.M in morning havnt slept a single second in night