Question

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.

Find P(C).

Short answer

$P\left(C\right)=0.48$

Step-by-step solution

Content Introduction

A set of outcomes of a random experiment can be defined as an event in probability. All possible outcomes of an experiment are represented by the sample space. In probability, there are various different sorts of events. In probability, independent events are those whose outcome is not contingent on the outcome of a previous event. In probability, dependent events are those whose fate is determined by the occurrence of a previous event. This means that the likelihood of a dependent event occurring is influenced by a previous outcome. The term "impossible event" refers to an occurrence that will never happen. In probability, impossible events will never happen, hence the chance of their happening is always 0. Mutually exclusive events are those that cannot happen at the same moment.

Content Explanation

There are two events:

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.

Given that,

$$\begin{gathered} P\left(C\right)=0.48 \\ P\left(L\right)=0.367 \end{gathered}$$

Therefore,

$P\left(C\right)=0.48$