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The Dark Side of the Force is very powerful, and has cookies! Emperor Palpatine

ID: 3130294 • Letter: T

Question

The Dark Side of the Force is very powerful, and has cookies! Emperor Palpatine researches how effective the Dark Side of the Force is among both the Jedi and the Sith. He is interested in knowing if their place of birth has any influence on their going to the Dark Side. The result of this research is shown in the cross tabulation table below. Based on the data presented, answer the following questions. Reduce all fractions to decimals and round to 2 decimal places.

A. What is the probability of selecting a Jedi?

B. What is the probability of selecting a Sith who was born on Naboo?

C. What is the probability of selecting a Sith or someone born on Korriban?

D. What is the probability of selecting a person who is from Ziost?

E. What is the probability of selecting a person who is a Sith and a Jedi?

Naboo Korriban Ziost Total SITH 40 10 30 80 JEDI 30 20 70 120 TOTAL 70 30 100 200

Explanation / Answer

The Dark Side of the Force is very powerful, and has cookies! Emperor Palpatine researches how effective the Dark Side of the Force is among both the Jedi and the Sith. He is interested in knowing if their place of birth has any influence on their going to the Dark Side. The result of this research is shown in the cross tabulation table below. Based on the data presented, answer the following questions.

A. What is the probability of selecting a Jedi?

P(selecting a JEDI) = 120 / 200 = 0.6

B. What is the probability of selecting a Sith who was born on Naboo?

P(selecting a Sith who was born on Naboo) = 40 / 200 = 0.2

C. What is the probability of selecting a Sith or someone born on Korriban?

P(Sith or someone born on Korriban) = P(Sith) + P(someone born on Korriban) - P( Sith and someone born on Korriban)

P(sith) = 80 / 200 = 0.4

P(someone born on Korriban) = 30 / 200 = 0.15

P( Sith and someone born on Korriban) = 10 / 200 = 0.05

P(Sith or someone born on Korriban) = 0.4 + 0.15 - 0.05

P(Sith or someone born on Korriban) = 0.5

D. What is the probability of selecting a person who is from Ziost?

P(selecting a person who is from Ziost) = 100 / 200 = 0.5

E. What is the probability of selecting a person who is a Sith and a Jedi?

This probability is 0.

Because there is no any one person who is SITH and JEDI.

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