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 other classes.

$U$ and $V$ are mutually exclusive events. $P(U)=0.26 ; P(V)=0.37$. Find:

$$P(U \mid V)=$$

$U$ and $V$ are mutually exclusive events. $P(U)=0.26 ; P(V)=0.37$. Find:

$$P(U \cup V)=$$

Did George Washington have a vice president?

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 $\mid$ 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 female).

Licensed Drivers in the United States In a recent year there were the following numbers (in thousands) of licensed drivers in the United States.

Choose one driver at random. Find the probability that the driver is
b. Age $20$ or 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.

In words, explain the difference between the probabilities in part c and part d.

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.

A box is filled with several party favors. It contains 12 hats, 15 noisemakers, ten finger traps, and five bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(H).

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.

Q and R are independent events. Find P( Q and R). P(Q) = ¼, P(R) = (1/5)

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. Among Latino California registered voters, $55 \%$ prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. $37.6 \%$ of all Californians are Latino.

In this problem, let's:

• $C$ = Californians (registered voters) prefer life in prison without parole over the death penalty for a person convicted of first-degree murder.

• $L=$ Latino Californians

Suppose that one Californian is randomly selected.

Find $P(L)$.

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).