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The data in the following table were obtained in a study to determine the frequency and dependency of IQ ranges relative to males and females.

The data in the following table were obtained in a study to determine the frequency and dependency of IQ ranges relative to males and females. 1,000 people were chosen at random and the following results were recorded:

IQ

Below 90

90-120

Above 120

Totals

Female

150

300

50

500

Male

140

280

80

500

Totals

290

580

130

1000

5.1 What is the probability of a person having an IQ below 90, given that the person is a female?

5.2 What is the probability of a person having an IQ above 120, given that the person is a male?

5.3 What is the probability of a person being a female, given that the person has an IQ 90-120?

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