Question

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(L AND C).

Short answer

$P(LANDC)=0.207$

Step-by-step solution

Content Introduction

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.

Content Explanation

Given that,

$$\begin{gathered} P\left(C\right)=0.48 \\ P\left(L\right)=0.376 \end{gathered}$$

Therefore,

$$\begin{gathered} P(LAND\hspace{0.17em}C)=P\left(C\right|L\left)P\right(C) \\ =0.55\times 0.376 \\ =0.207 \end{gathered}$$