Forty-four percent of all registered voters in a particular state prefer life in

Question

Forty-four 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, 56% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 36.1% 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 I-Latino citizens Suppose that one registered voter is randomly selected Find P(L AND C). (Round your answer to four decimal places.) Remember the formula for conditional probability. Where does an "AND event fit into that formula?

Explanation / Answer

P(C) =P(Preferring life sentence without parole) =0.56

P(L) =P(Latino citizens) =0.361

P(C AND L) = P( Preferring life sentence without parole AND being a Latino citizen)

=P(C AND L) =P(C|L)P(L) (By the formula of Conditional probabilty)

= 0.56 x 0.361 =0.20216 =0.2022

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