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1. Classify each characteristic as a qualitative or quantitative: Time Type of car Town of birth Examination grade Daily rainfall 2. Would these expected distributions

1. Classify each characteristic as a qualitative or quantitative:

  • Time
  • Type of car
  • Town of birth
  • Examination grade
  • Daily rainfall

2. Would these expected distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or

skewed? Explain why.

(a) The number of songs that each student in your class has downloaded online

(b) Cost of each order from a mail-order catalogue for clothing

(c) Weights of bags of M&Ms that are labelled to contain 6 ounces

(d) Heights of students in your class

(e) Ages of shoppers in a convenience store near a university late Saturday night

(f) Number of children of shoppers in a toy store

(g) Amount of cash taken in by retail cashiers during a two-hour shift

(h) Number of packages processed each day by Federal Express in their hub location in Memphis, Tennessee, during August and the four weeks before Christmas

3.The table below describes the daily return of three stocks.

Date

APPLE

TESLA

GM

01/10/2020

0.85%

4.46%

2.67%

02/10/2020

-3.23%

-7.38%

0.26%

05/10/2020

3.08%

2.55%

1.64%

06/10/2020

-2.87%

-2.75%

-1.81%

07/10/2020

1.70%

2.73%

4.01%

08/10/2020

-0.10%

0.15%

1.87%

09/10/2020

1.74%

1.90%

-0.16%

12/10/2020

6.35%

1.91%

0.16%

13/10/2020

-2.65%

0.98%

-1.06%

14/10/2020

0.07%

3.28%

-0.63%

15/10/2020

-0.40%

-2.69%

2.90%

16/10/2020

-1.40%

-2.05%

2.64%

19/10/2020

-2.55%

-2.01%

-0.30%

20/10/2020

1.32%

-2.06%

6.75%

21/10/2020

-0.54%

0.17%

0.48%

22/10/2020

-0.96%

0.75%

4.58%

23/10/2020

-0.61%

-1.21%

-1.55%

26/10/2020

0.01%

-0.08%

-2.74%

27/10/2020

1.35%

1.05%

-2.60%

28/10/2020

-4.63%

-4.39%

-2.29%

29/10/2020

3.71%

1.18%

2.35%

30/10/2020

-5.60%

-5.55%

-1.03%

02/11/2020

-0.08%

3.21%

0.06%

03/11/2020

1.54%

5.84%

2.32%

04/11/2020

4.08%

-0.69%

-0.31%

05/11/2020

3.55%

4.06%

5.39%

06/11/2020

-0.29%

-1.86%

0.89%

09/11/2020

-2.00%

-2.02%

3.98%

10/11/2020

-0.30%

-2.59%

5.44%

11/11/2020

3.04%

1.65%

-1.27%

12/11/2020

-0.23%

-1.29%

-3.06%

(a) Find the Sharpe ratio of stock in these three companies. Which looks best from this investment point of view?

(b) How does the Sharpe ratio differ from the type of standardizing used to form z-scores?

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