SOLUTION: Give probabilities for the following age :.....<20....20-40.....>40(age group) male:.....168....340.......170 female:...208....290.......160 1.Using the relative frequency

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Question 523757: Give probabilities for the following
age :.....<20....20-40.....>40(age group)
male:.....168....340.......170
female:...208....290.......160
1.Using the relative frequency of occurrence approach, what is the probability that a customer is a male?
2.What is the probability that a customer is 20 – 40 years old?
3.What is the joint probability of a customer being 20 – 40 years old and a male?
4.Calculate the probability that a customer selected from the male customers would be less than 20 years old. Calculate the same for the female customers. Does it appear that gender is independent of age? Support your answer with calculations and reasons.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Give probabilities for the following:
age :.....<20....20-40.....>40(age group)..Totals
male:.....168....340.......170.............678
female:...208....290.......160.............658
Totals:...376....630.......330............1336
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1.Using the relative frequency of occurrence approach, what is the probability that a customer is a male?::::678/1336
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2.What is the probability that a customer is 20 – 40 years old?630/1336
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3.What is the joint probability of a customer being 20 – 40 years old and a male?:::340/1336
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4.Calculate the probability that a customer selected from the male customers would be less than 20 years old.:::168/376
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Calculate the same for the female customers.:::208/376
Does it appear that gender is independent of age?::Yes
Support your answer with calculations and reasons.:::Expected probability
for both would be (188/376). The observed probs are quite different.
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Cheers,
Stan H.

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