Chapter 14 Study Guide Name Pergosneymathclass.weebly.com/uploads/1/8/3/6/18360729/ch_14_study... · Find the number of permutations of the letters RACECAR ... 5P3 = 60 4) 8! = 40,320

Chapter 14 Study Guide Name _________________ Per ____ Show all work. 1. Darian packs 7 shirts, 3 pairs of pants, and 2 jackets for a trip. How many different

outfits could she wear it all clothes are interchangeable?

2. There are 4 red, 3 white, and 2 blue buttons in a bag. Three buttons are drawn at

random (when a button is drawn it is not put back in the bag).

a) What is the probability that at least one of the buttons drawn is blue?

b) What is the probability that two of the buttons are red?

c) What is the probability that all three buttons are red or all three buttons are white?

3. How many different 3 letter code words can be made from the letters of the word

BEACH if repetition of letter is not allowed?

4. How many different ways can 8 people wait in line to see a movie?

5. If 15 runners are in a race, how many possible ways are there to award 1st, 2

nd, and 3

rd

place winners?

6. How many pairs of opponents for playing tennis can be formed from group of 6

people?

7. Find the number of permutations of the letters RACECAR

8. A jar contains 3 green marbles and 4 yellow marbles. A marble is drawn at random

and not replaced before second marble is drawn.

a) Find probability both are yellow

b) Find probability first is yellow, second is green

c) Find probability they are different colors

d) Find probability second is yellow given first is green

e) Find the probability they are both yellow if the marble is replaced.

Answers

_

1) 7*3*2 = 42 outfits

2) a.

b.

c.

3) 5P3 = 60

4) 8! = 40,320

5) 15P3 = 2730

6) 6C2 = 15

7) 7!/2!2!2! = 630

8) a) 2/7

b) 2/7

c) 4/7

d) 2/3

e) 16/49

9) If you have 19 pictures, in how many ways can you hang three pictures side by

side?

10) In a class of 28, 6 students will present their projects tomorrow. How many ways

are there to select the 6 students to present?

11) Three cards are drawn from a well-shuffled standard deck of cards, one after the

other without replacement. Find the probability of drawing:

a) all clubs

b) no clubs

c) exactly one club

d) exactly two clubs

e) at least one club

f) two clubs and one diamond

g) at most one face card

12. Make a frequency distribution table, and use it to find the mean, median, and

mode.

5, 7, 22, 12, 2, 7, 9, 10, 3, 22, 5, 16, 4, 5, 9, 21, 23, 9, 15, 9, 18, 3, 19

13. Find the mean, variance, and standard deviation by hand. Must show work.

4, 5, 9, 21, 23

14. Determine whether the two events are independent. Must show work.

P(E) = 2/8, P(D) = 4/8, and P(E D) = 1/8.

Answers

_

9) 19P3

10) 28C6 = 376,740

11)

12) mean =11.09

median = 9

mode = 9

13) mean = 12.4

S.D. = 8.0

variance = 64.6

14) YES

15. Find the first three terms of (x – 3y)5.

16. Find each value for a standard normal curve, with a mean of 0 and a standard

deviation of 1.

a. P(-1.8 < x < 1.6) b. P(x > 1.2)

17. Professor Halen has 184 students in his college mathematics lecture class. The

scores on the midterm exam are normally distributed with a mean of 72.3 and a standard

deviation of 8.9. How many students in the class can be expected to receive a score

between 82 and 90? Express answer to the nearest student.

Answers

_

18)

19) a. 0.9093 b. 0.1151

20) (184)(.1145) = 121

students

21) mean =11.09

median = 9

mode = 9

22) mean = 12.4

S.D. = 8.0

variance = 64.6