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5) A survey of 200 executives was conducted to study the relationship between industry type (Finance Manufacturing and Commun
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Answer #1

from given data:

northeast southeast midwest west Total
Finance 24 10 8 14 56
Manufacturing 30 6 22 12 70
Communication 28 18 12 16 74
total 82 34 42 42 200

a)

P(manufacturing) =70/200 =0.35

(this is marginal probability)

b)

P(midwest )=42/200 =0.21

(this is marginal probability)

c)

P(west |communications) =(16/74)= 0.2162

(this is conditional probability)

d)

P(manufacturing|midwest) =(22/42)=0.5238

(this is conditional probability)

e)

since P(manufacturing ) is not equal to P(manufacturing|midwest) , industry type and geographic location are not independent,

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