Question

In: Statistics and Probability

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable...

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest tenth.

x: 13 0 38 23 35 25 26

-13

-13

-16

y: 7

-2

26 16 24 16 16

-2

-3

-7

Select one:

a. for x-values: 108.6%, and for y-values: 132.4%

b. for x-values: 194.1%, and for y-values: 236.8%

c. for x-values: 132.4,% and for y-values: 194.1%

d. for x-values: 108.6%, and for y-values: 236.8%

e. for x-values: 194.1%, and for y-values: 132.4%

John runs a computer software store. He counted 124 people who walked by his store in a day, 50 of whom came into the store. Of the 50, only 24 bought something in the store. Estimate the probability that a person who walks by the store will come in and buy something. Round your answer to the nearest hundredth.

Select one:

a. none of these choices

b. 0.19

c. 0.60

d. 0.48

e. 0.14

What percentage of the general U.S. population have bachelor's degrees? Suppose that the Statistical Abstract of the United States, 120th Edition, gives the following percentage of bachelor's degrees by state. For convenience, the data are sorted in increasing order.

17 18 18 18 19 20 20 20 21 21
21 21 21 22 22 22 22 22 23 23
24 24 24 24 24 25 25 25 25 26
26 26 26 26 26 27 27 27 28 28
28 29 29 31 31 32 32 34 35 38

Illinois has a bachelor's degree percentage rate of about 18%. Into what quartile does this rate fall?

Select one:

a. second quartile

b. third quartile

c. first quartile

d. first quartile as well as second quartile

e. none of these choices

You draw two cards from a standard deck of 52 cards and do not replace the first one before drawing the second. Find the probability of drawing a 7 for the first card and a king for the second card. Round your answer to the nearest thousandth.

Select one:

a. 0.155

b. 0.019

c. 0.006

d. 0.039

e. 0.083

Solutions

Expert Solution

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest tenth.

x:

13

0

38

23

35

25

26

-13

-13

-16

y:

7

-2

26

16

24

16

16

-2

-3

-7

Descriptive statistics

x:

y:

count

10

10

mean

11.80

9.10

sample standard deviation

20.74

12.05

coefficient of variation (CV)

175.72%

132.42%

Select one:

a. for x-values: 108.6%, and for y-values: 132.4%

Answer: ( nearby) e. for x-values: 194.1%, and for y-values: 132.4%

John runs a computer software store. He counted 124 people who walked by his store in a day, 50 of whom came into the store. Of the 50, only 24 bought something in the store. Estimate the probability that a person who walks by the store will come in and buy something. Round your answer to the nearest hundredth.

Select one:

P=(50/124)*(24/50) =0.19355

a. none of these choices

Answer: b. 0.19

c. 0.60

d. 0.48

e. 0.14

What percentage of the general U.S. population have bachelor's degrees? Suppose that the Statistical Abstract of the United States, 120th Edition, gives the following percentage of bachelor's degrees by state. For convenience, the data are sorted in increasing order.

17

18

18

18

19

20

20

20

21

21

21

21

21

22

22

22

22

22

23

23

24

24

24

24

24

25

25

25

25

26

26

26

26

26

26

27

27

27

28

28

28

29

29

31

31

32

32

34

35

38

Illinois has a bachelor's degree percentage rate of about 18%. Into what quartile does this rate fall?

There are 50 observations. first quartile is 12.5Th observation, second quartile is 25th observation, Third quartile is 37.5th observation. The value 18 is none of these values.

Select one:

a. second quartile

b. third quartile

c. first quartile

d. first quartile as well as second quartile

Answer: e. none of these choices

You draw two cards from a standard deck of 52 cards and do not replace the first one before drawing the second. Find the probability of drawing a 7 for the first card and a king for the second card. Round your answer to the nearest thousandth.

Select one:

a. 0.155

b. 0.019

Answer: c. 0.006

d. 0.039

e. 0.083

There are four 7 numbers and four kings.

P = (4/52)*(4/51) =0.006033


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