Question

Here are the figures for the loyalty of imperial soldiers on the Death Star: 240 stormtroopers...

Here are the figures for the loyalty of imperial soldiers on the Death Star: 240 stormtroopers are traitors, 2000 stormtroopers are loyal, 350 imperial officers are traitors, imperial officers are loyal.

traitors loyal
stormtroopers 240 2000
officers 350 1210


Round all answers to the nearest tenth (one place after the decimal).

What percentage of stormtroopers are traitors? __
What percentage of stormtroopers are loyal? __
What percentage of imperial officers are traitors? __
What percentage of imperial officers are loyal? __
What percentage of traitors are stormtroopers? __
What percentage of loyalists are stormtroopers? __
What percentage of traitors are imperial officers? __
What percentage of loyalists are imperial officers? __
What percentage of people on the Death Star are stormtroopers? __
What percentage of people on the Death Star are imperial officers? __
What percentage of people on the Death Star are traitors? __
What percentage of people on the Death Star are loyal? __

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

P(traitors | stormtroopers) = 240 / (240 + 2000) = 0.107 = 10.7%

P(loyal | stormtroopers) = 2000 / (240 + 2000) = 0.893 = 89.3%

P(traitors | imperial officers) = 350 / (350 + 1210) = 0.224 = 22.4%

P(loyal | imperial officers) = 1210 / (350 + 1210) = 0.776 = 77.6%

P(stormtroopers | traitors) = 240 / (240 + 350) = 0.407 = 40.7%

P(stormtroopers | loyalists) = 2000 / (2000 + 1210) = 0.623 = 62.3%

P(imperial officers | traitors) = 350 / (240 + 350) = 0.593 = 59.3%

P(imperial officers | loyalists) = 1210 / (2000 + 1210) = 0.377 = 37.7%

P(stormtroopers) = (240 + 2000) / (240 + 2000 + 350 + 1210) = 0.589 = 58.9%

P(imperial officers) = (350 + 1210) / (240 + 2000 + 350 + 1210) = 0.411 = 41.1%

P(traitors) = (240 + 350) / (240 + 2000 + 350 + 1210) = 0.155 = 15.5%

P(loyal) = (2000 + 1210) / (240 + 2000 + 350 + 1210) = 0.845 = 84.5%

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