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Week 1 Assignment

Question 1

The following information regarding the ten richest Americans was reported in a recent issue of Forbes.

Name

Ranking

Worth ($Billions)

Age

Marital Status

Source

Gates, William

1

72.0

51

Married

Microsoft

Buffett, Warren

2

52.0

77

Married

Berkshire Hathaway

Adelson, Sheldon

3

28.0

74

Married

Casinos, hotels

Ellison, L.J.

4

26.0

63

Married

Oracle

Brin, Sergey

5

18.5

34

Married

Google

Page, Larry

5

18.5

34

Single

Google

Kerkorian, Kirk

7

18.0

90

Divorced

Investments, casinos

Dell, Michael

8

17.2

42

Married

Dell

Koch, Charles

9

17.0

71

Married

Oil, commodities

Koch, David

9

17.0

67

Married

Oil, commodities

1.How many elements are in the above data set?

2.How many variables are in this data set?

3.How many observations are in this data set?

4.Which variables are categorical and which are quantitative?

Question 2

A sample of the ages of 10 employees of a company is shown below.

20 30 40 30 50
30 20 30 20 40

Using a method of your choosing, construct a dot plot for the above data.

Question 3

The following data shows the price of PAO, Inc. stock over the last eight months.

1.Develop a scatter diagram and draw a trend line through the points.

2.What kind of relationship exists between stock price and time (negative, positive, or no relation)?

Week 2 Assignment

Question 1

1.Compute the weighted mean for the following data.

Question 2

1.If P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, then P(B | A) =

Question 3

Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B. What is the probability that

1.Person A was given a vitamin tablet?

2.Person B was given a sugar tablet given that Person A was given a vitamin tablet?

3.Neither was given vitamin tablets?

4.Both were given vitamin tablets?

5.Exactly one person was given a vitamin tablet?

6.Person A was given a sugar tablet and Person B was given a vitamin tablet?

7.Person A was given a vitamin tablet and Person B was given a sugar tablet?

Week 3 Assignment

Question 1

Seventy percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 18 applicants:

A.At least 6 will be accepted?

B.Exactly 10 will be accepted?

C.Exactly 5 will be rejected?

D.Fifteen or more will be accepted?

E.Determine the expected number of acceptances.

F.Compute the standard deviation.

Question 2

Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6.

A.What is the probability that a randomly selected exam will have a score of at least 71?

B.What percentage of exams will have scores between 89 and 92?

C.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?

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