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Forty-three percent of all registered voters in a particular state prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino registered voters in the state, 66% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.5% of all citizens in the state are Latino.In this problem, define variables as the following.•   C = Registered voters preferring life in prison without parole over the death penalty for a person convicted of first degree murder.•   L = Latino citizensSuppose that one registered voter is randomly selected.Find P(L AND C ). (Round your answer to four decimal places.)P(L AND C ) =

Question

Forty-three percent of all registered voters in a particular state prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino registered voters in the state, 66% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.5% of all citizens in the state are Latino.In this problem, define variables as the following.•   C = Registered voters preferring life in prison without parole over the death penalty for a person convicted of first degree murder.•   L = Latino citizensSuppose that one registered voter is randomly selected.Find P(L AND C ). (Round your answer to four decimal places.)P(L AND C ) =

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Solution

To find P(L AND C), we need to find the probability that a randomly selected registered voter is both Latino and prefers life in prison without parole over the death penalty.

We know that 66% of Latino registered voters prefer life in prison without parole over the death penalty, and that 37.5% of all citizens in the state are Latino.

To find P(L AND C), we multiply these two probabilities together:

P(L AND C) = 0.66 * 0.375 = 0.2475

So, the probability that a randomly selected registered voter is both Latino and prefers life in prison without parole over the death penalty is approximately 0.2475, or 24.75% when rounded to four decimal places.

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Similar Questions

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