As mentioned in Exercise 4.52, a July 21 survey on www.HuffingtonPost.com asked people to choose their favorite junk food from a list of choices. Considering that there were 4801 female respondents and 3201 male respondents, even though the findings were not broken down by gender, let's assume that the following table represents the results for the 8002 respondents.

$$\begin{array}{lcc} \hline \text { Favorite Junk Food } & \text { Female } & \text { Male } \\ \hline \text { Chocolate } & 1518 & 531 \\ \text { Sugary candy } & 218 & 127 \\ \text { Ice cream } & 685 & 586 \\ \text { Fast food } & 312 & 463 \\ \text { Cookies } & 431 & 219 \\ \text { Chips } & 458 & 649 \\ \text { Cake } & 387 & 103 \\ \text { Pizza } & 792 & 523 \\ \hline \end{array}$$

Let's say that one respondent is chosen at random from this sample of 8002 people. Identify the probabilities for each. a. The likelihood that a feminine event will involve chocolate. b. Probability of the union of events male and cake.

Find $P(A$ or $B)$ for the following if $A$ and $B$ are two occurrences that can't both happen at the same time.

Refer to the earlier exercise in. Write down every result that was a part of each of the ensuing events. List the events that are simple and the ones that are compound. a. Math anxiety affects both students. b. One student in particular experiences math anxiety. c. The first student does not have arithmetic anxiety, whereas the second does. d. None of the pupils experience math phobia.

The combined probability of two events that are mutually exclusive is always a. $1.0$ b. between 0 and 1 c. 0

The whole of an experiment's results is referred to as a. a sample space b. the intersection of events c. joint probability

Describe what the terms experiment, result, sample space, simple event, and compound event mean.

Indicate the financial statement on which each of the following items appears: income statement, statement of retained earnings, or balance sheet.

a. Services Revenue

An IBD/TIPP poll conducted to learn about attitudes toward investment and retirement (Investor’s Business Daily, May 5, 2000) asked male and female respondents how important they felt level of risk was in choosing a retirement investment. The following joint probability table was constructed from the data provided. “Important” means the respondent said level of risk was either important or very important.

$$\begin{matrix} \text{ } & \text{Male} & \text{Female} & \text{Total}\\ \text{Important} & \text{0.22} & \text{0.27} & \text{0.49}\\ \text{Not Important} & \text{0.28} & \text{0.23} & \text{0.51}\\ \text{Total} & \text{0.5} & \text{0.5} & \text{1}\\ \end{matrix}$$

a. What is the probability a survey respondent will say level of risk is important? b. What is the probability a male respondent will say level of risk is important? c. What is the probability a female respondent will say level of risk is important? d. Is the level of risk independent of the gender of the respondent? Why or why not? e. Do male and female attitudes toward risk differ?

The table shows the distribution, by age and gender, of the $29.3$ million Americans who live alone. Use the data in the table to solve the exercise.

$$\begin{array}{l} \text{NUMBER OF PEOPLE IN THE UNITED STATES}\\ \text{ LIVING ALONE, IN MILLIONS}\\ \begin{array}{|l|c|c|c|c|c|c|c|} \hline & \text{Ages 15 - 24} & \text{Ages 25 - 34} & \text{Ages 35 - 44} & \text{Ages 45 - 64} & \text{Ages 65 - 74} & \text{Ages $\ge$ 75} & \text{Total}\\ \hline \text{Male} & 0.7 & 2.2 & 2.6 & 4.3 & 1.3 & 1.4 & 12.5\\ \hline \text{Female} & 0.8 & 1.6 & 1.6 & 5.0 & 2.9 & 4.9 & 16.8\\ \hline \text{Total} & 1.5 & 3.8 & 4.2 & 9.3 & 4.2 & 6.3 & 29.3\\ \hline \end{array} \end{array}$$

Find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly selected American living alone is in the $35-44$ age range.

In the article "Bigger Teeth for Longer Life? Longevity and Molar Height in Two Roe Deer Populations", researchers developed a model to predict the tooth height (in mm),y, of roe deer based on their age, $x_1$, gender, $x_2$(0=female, 1=male), and location, $x_3$ (Trois Fontaines deer, which have a shorter life expectancy, and Chaize, which have a longer life expectancy, $x_3$=0 for Trois Fontaines, $x_3$=1 for (Chize). The model is $\hat{y}=7.790-0.382 x_{1}-0.587 x_{2}-0.925 x_{3}+0.091 x_{2} x_{3}$.

What is the expected tooth length of a female roe deet who is 12 years old and lives in Trois Fontaines?

$$\begin{array}{ccccc} & \begin{array}{l} \text { Copied } \\ \text { Studem } \\ \text { Internet } \end{array} & \begin{array}{c} \text { Copied } \\ \text { on Exam } \end{array} & \begin{array}{c} \text { Collaborated } \\ \text { on Individual } \\ \text { Project } \end{array} & \text { Gender } \\ 1 & \text { No } & \text { No } & \text { No } & \text { Female } \\ 2 & \text { No } & \text { No } & \text { No } & \text { Male } \\ 3 & \text { Yes } & \text { No } & \text { Yes } & \text { Male } \\ 4 & \text { Yes } & \text { Yes } & \text { No } & \text { Male } \\ 5 & \text { No } & \text { No } & \text { Yes } & \text { Male } \\ 6 & \text { Yes } & \text { No } & \text { No } & \text { Female } \\ 88 & \text {. } & & - & \text { - } \\ 89 & \text { No } & \text { No } & \text { No } & \text { Male } \\ 90 & \text { No } & \text { Yes } & \text { Yes } & \text { Male } \\ 5 & \text { No } & \text { No } & \text { No } & \text { Female } \end{array}$$

Use descriptive statistics to summarize the data and comment on your findings.

Construct the indicated stemplot from the data in. Then write a brief interpretation of the stemplot. Life Expectancy by Gender for 12 Nations of South America.

$$\begin{matrix} \text{Nation} & \text{Male} & \text{Female}\\ \text{Argentina} & \text{73} & \text{80}\\ \text{Bolivia} & \text{65} & \text{69}\\ \text{Brazil} & \text{71} & \text{79}\\ \text{Chile} & \text{76} & \text{81}\\ \text{Colombia} & \text{72} & \text{79}\\ \text{Ecuador} & \text{72} & \text{78}\\ \text{Guyana} & \text{64} & \text{69}\\ \text{Paraguay} & \text{70} & \text{74}\\ \text{Peru} & \text{72} & \text{78}\\ \text{Surname} & \text{68} & \text{74}\\ \text{Uruguay} & \text{73} & \text{80}\\ \text{Venezuela} & \text{72} & \text{78}\\ \end{matrix}$$

A stemplot showing life expectancies of males in 12 nations of South America (Use split stems.)

Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, "Do you eat breakfast regularly?" All 595 students in the school responded to the survey. The resulting data are summarized in the two-way table.

$$\begin{array} {lc} & \text{Gender} \\ \text {$\begin{matrix} \text{Eats}\\ \text{breakfast}\\ \text{regularly}\\ \end{matrix}$} & \begin{array}{l|c|c|c} & \text { Male } & \text { Female } & \text { Total } \\ \hline \text { Yes } & 190 & 110 & 300 \\ \hline \text { No } & 130 & 165 & 295 \\ \hline \text { Total } & 320 & 275 & 595 \end{array}\\ \end{array}$$

Suppose we select a student from the school at random. Define event F as getting a female student and event B as getting a student who eats breakfast regularly. Find $P\left(\mathrm{B}^{\mathrm{C}}\right) .$ Interpret this value in context.

Nielsen Media Research, Inc. is replacing all of its paper-based viewer diaries with a sample of viewers that use people meters in local television markets.

People meters automatically track viewing as people change channels. Since 1987, the company has used the method to determine national television ratings. Now, it is establishing a similar system for local television ratings. While the old system provided ratings data only four times a year, the new local ratings will be available on a nightly basis. The new system will allow Nielsen to give demographic data by age, race, and gender on a local television market.

The system is not without controversy. Some politicians and the National Minority Business Council say the new system is flawed because it undercounts minority groups. However, Nielsen says that 21.6 percent of African Americans are being measured under the new rating system, compared to 19 percent with the old system.

Why are local television ratings important?