Respuesta :
Answer:
[tex] P(A) = P(A|M)*P(M) + P(A|F)*P(F)[/tex]
And replacing we got:
[tex] P(A) = P(A|M)*P(M) + P(A|F)*P(F)= 0.54*0.48 + 0.33*0.52= 0.4308[/tex]
And that would be the probability of believe in aliens.
And by the complement rule we have:
[tex] P(A') = 1-P(A) = 1-0.4308= 0.5692[/tex]
Step-by-step explanation:
For this case we have the following probabilities:
[tex] P(M) =0.48[/tex] probability of being male
[tex] P(F) =1-0.48=0.52[/tex] probability of being female
[tex] P(A|M) = 0.54[/tex] probability of believe in aliens given that is male
[tex] P(A|F) = 0.33[/tex] probability of believe in aliens given that is female
And we can use the total rule of probability given by:
[tex] P(A) = P(A|M)*P(M) + P(A|F)*P(F)[/tex]
And replacing we got:
[tex] P(A) = P(A|M)*P(M) + P(A|F)*P(F)= 0.54*0.48 + 0.33*0.52= 0.4308[/tex]
And that would be the probability of believe in aliens.
And by the complement rule we have:
[tex] P(A') = 1-P(A) = 1-0.4308= 0.5692[/tex]
