1. Estimate, within say 5 IQ points, the average IQ of the Nobel laureates. 

2. Members of Groups A and B have normally distributed IQs with equal standard deviations. The mean IQ in Group A is one standard deviation higher than in Group B. If one person is selected randomly from each group, what is the probability that the individual selected from Group B is the more intelligent of the two?

3. Members of Group A are on average taller than those of Group B, with mean heights separated by 1 standard deviation. In both groups height is normally distributed. The populations of Groups A and B are 200 million and 35 million, respectively. What is the most probable composition of the tallest 1,000 selected from the combined populations?