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Chapter 3: Q.50 (page 218)

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: 鈥� 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.

Are L and C independent events? Show why or why not.

Short Answer

Expert verified

No, L and C are not independent.

Step by step solution

01

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.

Given that,

P(C)=0.48P(L)=0.376

02

Content Explanation

To prove two events independent of each other, justify the following given conditions:

1.P(C|L)=P(C)2.P(L|C)=P(L)3.P(C鈥�AND鈥�L)=P(C)P(L)

Here, if we look at these conditions, first condition (1)P(C|L)=0.55鈮�P(C)=0.48

It is clear that first condition is not satisfied to make both events independent of each other.

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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: 鈥� 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.

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