Mathematics Homework Help

The use of statistics is often employed to highlight international, national, and state trends in crime and drug abuse.

1. Explain the following terms in your own words.

1. Box-and-whiskers plot
2. Standard deviation
3. Normal distribution

(9 points)

2. A BAC describes the amount of alcohol in a person’s blood, expressed as weight of alcohol per unit of volume of blood. For example, 0.08 percent BAC indicates 80 mg of alcohol per 100 ml of blood.” (source: http://www.austintexas.gov/faq/what-does-blood-alcohol-concentration-bac-measure (Links to an external site.); please note, you do not require to access the source to answer the question)

For the data set below calculate the mean, median, mode and standard deviation.

Then, for Blood alcohol levels only, plot:

a. Frequency histogram

b. Probability (i.e. cumulative frequency) plot

What do you conclude about the distribution of the sample?

From the data set presented here, would you feel comfortable to say that the age group between 30-39 years exhibits higher BAC counts than other age groups?

(16 points)

Age	Blood alcohol level (mg/dL)
21	13
45	65
32	34
65	21
34	82
18	36
24	89
28	45
43	102
48	78
52	56
37	112
48	105
61	95
33	68
58	41
31	90
36	98
27	104
25	32
47	54
35	67
64	62
50	78
38	92
36	84
59	26
41	81
34	85
28	54
24	109
42	96
19	34
33	27
64	18
43	91
39	74
34	101
41	95
40	88

• In an experiment using three tosses of the same coin, state and apply the general equation that provides the total number of possible outcomes for the experiment and list the outcome string (3 points). Then, for each of the following three scenarios, list the possible outcome string and calculate the probability of the scenario as a decimal number (to three places) showing all working (9 points).
  • The probability of getting three heads when flipping a coin 3 times.
  • The probability of at least getting one head and one tail when flipping a coin 3 times.
  • The probability of getting a head in the first flip, a tail in the second, and a head again in the third flip of a coin.
• Below is an incomplete contingency table displaying two levels for each the gender and the political party association (13 points).
  • Complete the table with all marginal totals and cell counts.
  • Calculate the following probabilities.
    • For a male to be a Republican.
    • For a voter to be female.
    • For a voter to be either a democrat or a female.
    • For a person to not be a female but voting democratic.

	Political party		Total
Gender	Republican	Democrat
Male	87	73	?
Female	61	?	?
Total	?	?	300