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Use the following information to answer the next ten exercises. 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: • C = Californians (registered voters) preferring 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. In words, what is C|L?

Short Answer

Expert verified
C|L is the probability that a Latino Californian voter prefers life in prison without parole.

Step by step solution

01

Understanding the Notation

In this problem, we are tasked with interpreting the notation \( C|L \). This notation reads as "C given L," which in probability terms means the probability that a Californian registered voter prefers life in prison without parole over the death penalty, given that the voter is Latino.
02

Breaking Down the Problem

We are given the following information:- 48% of all California registered voters overall prefer life in prison without parole (C).- 55% of Latino California registered voters prefer life in prison without parole (L).- 37.6% of all Californian voters are Latino.From this, we want to find what \( C|L \) represents in words.
03

Interpreting C|L in Context

The expression \( C|L \) specifically refers to the probability that a Latino Californian, chosen at random, prefers life in prison without parole over the death penalty. Since we know that among Latino voters, 55% prefer life in prison without parole, \( C|L \) reflects this preference specifically among Latino voters.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Probability Notation
Probability notation can seem complex at first, but with a little practice, it becomes more intuitive. A common notation used is the conditional probability notation, often expressed as \( C|L \). This signifies the probability of event \( C \) occurring, given that \( L \) has already occurred. In simpler terms, it's how likely one thing is to happen if we know something else is true.
\( C|L \) is read as "C given L". In this scenario, \( C \) is the event "a registered voter prefers life in prison without parole over the death penalty."
\( L \) is the particular demographic marker "being a Latino California registered voter."
So, \( C|L \) answers the question: if we know a voter is Latino, what is the probability that they prefer life in prison without parole?
Such notation is very useful in statistics and data analysis because it helps break down complex problems into understandable parts.
Decoding Voter Preferences
In statistical terms, voter preferences refer to the frequency with which different voter groups support certain opinions or options. Understanding this requires analyzing collected data.
In the current context, 48% of all Californian registered voters prefer life in prison without parole over the death penalty. This general statistic shows a significant portion of the population leaning towards this option. However, preferences can vary significantly across demographic groups.
When we focus on Latino California voters, the data indicates that 55% prefer life in prison without parole. This information demonstrates a stronger preference among Latino voters for this alternative compared to the general voting population. Identifying and understanding these differences in voter preferences is crucial for political analysts, allowing them to predict voting outcomes and tailor speeches and campaigns.
Latino Demographic in Statistics
The Latino demographic in California plays a vital role in understanding voter patterns and preferences. This group represents 37.6% of all Californian registered voters, which means their collective preference can significantly influence election outcomes and policy decisions.
The statistics show that within this group, there's a slightly higher preference for life in prison without parole over the death penalty, at 55%. This figure is important for political strategists and policymakers, as it highlights the Latino community’s priority issues.
  • Understand the significance of Latino preferences as they account for a substantial share of the electorate.
  • Recognize that nuanced differences exist in preferences between Latinos and the general population.
By analyzing this demographic's preferences, campaigns can be better tailored to address their concerns and priorities, thereby fostering more inclusive and effective political strategies.

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Most popular questions from this chapter

After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046 people to measure the mayor’s popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced: • In early 2011, 60 percent of the population approved of Mayor Ford’s actions in office. • In mid-2011, 57 percent of the population approved of his actions. • In late 2011, the percentage of popular approval was measured at 42 percent. a. What is the sample size for this study? b. What proportion in the poll disapproved of Mayor Ford, according to the results from late 2011? c. How many people polled responded that they approved of Mayor Ford in late 2011? d. What is the probability that a person supported Mayor Ford, based on the data collected in mid-2011? e. What is the probability that a person supported Mayor Ford, based on the data collected in early 2011?

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An experiment consists of first rolling a die and then tossing a coin. a. List the sample space. b. Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). c. Let B be the event that the first and second tosses land on heads. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification.

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Use the following information to answer the next two exercises. 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.

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