Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $\$ 10$ cash in different classrooms on the George Washington campus. $44 \%$ were returned overall. From the economics classes $56 \%$ of the envelopes were returned. From the business, psychology, and history classes, $31 \%$ was returned.

Let: $R$ = money returned;

$E=$ economics classes;

$O=$ other classes

Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $\$ 10$ cash in different classrooms on the George Washington campus. $44 \%$ were returned overall. From the economics classes $56 \%$ of the envelopes were returned. From the business, psychology, and history classes, $31 \%$ was returned.

Let: $R$ = money returned;

$E=$ economics classes;

$O=$ other classes

Write a probability statement for the overall percent of money returned.

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $\$ 10$ cash in different classrooms on the George Washington campus. $44 \%$ were returned overall. From the economics classes $56 \%$ of the envelopes were returned. From the business, psychology, and history classes, $31 \%$ was returned.

Let: $R$ = money returned;

$E=$ economics classes;

$O=$ other classes

Write a probability statement for the percent of money returned out of the economics classes.

Approximately $281,000,000$ people over age of five live in the United States. Of these people, $55,000,000$ speak a language other than English at home. Of those who speak another language at home, $62.3 \%$ speak Spanish.

Let:

$E$ = speaks English at home;

$E^{\prime}$ = speaks another language at home;

$S=$ speaks Spanish;

Finish each probability statement by matching the correct answer.

$$\begin{array}{|l|l|} \hline \text { Probability Statements } & \text { Answers } \\ \hline \text { a. } P\left(E^{\prime}\right)= & \text { i. } 0.8043 \\ \hline \text { b. } P(E)= & \text { ii. } 0.623 \\ \hline \text { c. } P\left(S \cap E^{\prime}\right)= & \text { iii. } 0.1957 \\ \hline \text { d. } P\left(S \mid E^{\prime}\right)= & \text { iv. } 0.1219 \\ \hline \end{array}$$

At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper. a. Find the probability that a course has a final exam or a research project. b. Find the probability that a course has NEITHER of these two requirements.

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find: a. P(U AND V) = _______ b. P(U|V) = ________ c. P(U OR V) = ___________.

$75 \%$ of all years have an FTES:

at or below:$\rule{1cm}{1pt}$

The percentage of licensed U.S. drivers (from a recent year) that are female is $48.60$. Of the females, $5.03 \%$ are age 19 and under; $81.36 \%$ are age $20-64 ; 13.61 \%$ are age 65 or over. Of the licensed U.S. male drivers, $5.04 \%$ are age 19 and under; $81.43 \%$ are age $20-64 ; 13.53 \%$ are age 65 or over.

Complete the following.

Find $P$ (driver is female).

The percentage of licensed U.S. drivers (from a recent year) that are female is $48.60$. Of the females, $5.03 \%$ are age 19 and under; $81.36 \%$ are age $20-64 ; 13.61 \%$ are age 65 or over. Of the licensed U.S. male drivers, $5.04 \%$ are age 19 and under; $81.43 \%$ are age $20-64 ; 13.53 \%$ are age 65 or over.

Complete the following.

Find $P$ (driver is age 65 or over $\cap$ female).

The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over. Suppose that 10,000 U.S. licensed drivers are randomly selected. a. How many would you expect to be male? b. Using the table or tree diagram, construct a contingency table of gender versus age group. c. Using the contingency table, find the probability that out of the age 20–64 group, a randomly selected driver is female.

In 2000, people in the United States over age 2 watched television a total of 386 billion hours. The population of the United States over age 2 was about 265 million people. Write each number in scientific notation.

An experiment consists of tossing a nickel, a dime, and a quarter. Of interest is the side the coin lands on.

Let $A$ be the event that there are at least two tails. Find $P(A)$.

An experiment consists of tossing a nickel, a dime, and a quarter. Of interest is the side the coin lands on.

List the sample space.

The Y and Z are independent events.

Rewrite the basic Addition Rule $P(Y \cup Z)=P(Y)+P(Z)-P(Y \cap Z)$ using the information that $Y$ and $Z$ are independent events.