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 $25-34$ age range.

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.

Write the decimal rounded to the nearest hundredth.

You read an article that states, “Of the 411 players in the National Basketball Association, only 138 make more than the average salary of $3.12 million.” Is$3.12 million the mean or the median salary? Explain your answer.

You spin the spinner shown two times. Each section of the spinner labelled [1,4,3,1,2,5,1,3,2,1,4,2] is the same size. Use this information to answer the question, giving a probability as a percent and rounding to the nearest tenth of a percent when necessary. Find the probability that the spinner stops on 4 first and 3 second.

Use the theoretical probability formula to solve each exercise. Express each probability as a fraction reduced to lowest terms.

Use the following table that shows the four possibilities for the children of one healthy, SS, parent, and one parent with sickle cell trait, Ss.

$$\begin{array}{|lc|cc|} \hline & & \text{Second Parent}\\ & & \text{(with Sickle Cell Trait)} \\ & & S & s\\ \hline \text{Health} & S & SS & Ss\\ \text{First Parent} & S & SS & Ss\\ \hline \end{array}$$

Find the probability that these parents give birth to a child who

is healthy.

Use the complement of the event to find the probability.

You spin the spinner shown. The spinner is divided into 12 equal sectors. What is the probability of not spinning a 2?

A single die is rolled twice. The 36 equally likely outcomes are shown as follows: Find the probability of getting two numbers whose sum exceeds 12.

A single die is rolled twice. The 36 equally likely outcomes are shown as follows: Find the probability of getting two numbers whose sum is 5.

The government of a large city needs to determine whether the city's residents will support the construction of a new jail. The government decides to conduct a survey of a sample of the city's residents. Which one of the following procedures would be most appropriate for obtaining a sample of the city's residents?

a. Survey a random sample of the employees and inmates of the old jail.

b. Survery every fifth person who walks into City Hall on a given day.

c. Survey a random sample of persons within each geographic region of the city.

d. Survey the first 200 people listed in the city's telephone directory.

A single die is rolled twice. The 36 equally likely outcomes. Find the probability of getting two even numbers.

A fair coin is tossed two times in succession. The set of equally likely outcomes is { HH, HT, TH, TT }. Find the probability of getting. at least one head.

In this exercise, a fair coin is tossed two times in succession. The sample space of equally likely outcomes is $\{HH, HT, TH, TT\}$. Find the probability of getting

two heads.

A fair coin is tossed three times. What is the probability that two heads will be obtained in $\textit{succession}$?