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Chapter 3: Q.46 (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.

Find P(C|L).

Short Answer

Expert verified

P(C|L)=0.55

Step by step solution

01

Content Introduction

The events C and L are defined as:

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.

from the provided information the following probabilities are obtained:

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

02

Content Explanation

The event C|Lis defined as Californians preferring life in prison without parole over the death penalty for a person convicted of first degree murder that they belong to Latino.

It is given that 55%of Latino California registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder.

Since probability can also be expressed as percentage, so the probability that the randomly selected Californians prefer life in prison without parole over the death penalty for a person convicted of first degree murder that they belong to Latino is 55%or0.55

Therefore,

P(C|L)=0.55

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A jar of 150 jelly beans contains 22 red jelly beans, 38

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Let B = the event of getting a blue jelly bean

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