Who's the Smartest

A study was conducted on 1,000 randomly chosen people to determine the effect of sex on IQ ranges. The following results were recorded:
IQ
 
Below 90
90 - 120
Above 120
Total
Female
130
286
104
520
Male
120
264
96
480
Total
250
550
200
1000

1. What is the probability of a person having an IQ below 90, given that the person is a female? A male?

2. What is the probability of a person having an IQ above 120, given that the person is a female? A male?

3. What is the probability of a person having an IQ below 90?

4. What is the probability of a person having an IQ between 90 and 120?

5. What is the probability of a person having an IQ between 90 and 120, given that the person is a male?

6. What is the probability of a person being female and having an IQ above 120?

7. Is IQ dependent relative to sex?



The Discrete Mathematics Project