According to the US blood bank about 35.7% of the US has A positive blood. 1. If 3 people are chosen at random then what is the probability that no one has A positive blood?2. If 3 people are chosen at random then what is the probability that all 3 have A positive blood?Show all your work and make sure to round your answer to 3 decimal places.

Respuesta :

The percentage of the people that have A positive blood is 35.7%,

[tex]35.7\text{ \%=}\frac{35.7}{100}=0.357[/tex]

The probability of the people that do not have A positive blood,

[tex]1-0.357=0.643[/tex]

The probability of people with A positive blood is 0.357

The probability of people without A positive blood is 0.643

1) The probability that 3 people that do not have A positive blood

[tex]\begin{gathered} =0.643\times0.643\times0.643 \\ =0.2658\approx0.266(nearest\text{ 3decimal places)} \end{gathered}[/tex]

2) The probability that 3 people have A positive blood

[tex]\begin{gathered} =0.357\times0.357\times0.357 \\ =0.0455\approx0.046(nearest\text{ 3decimal places)} \end{gathered}[/tex]