Suppose that we model the distribution of IQ scores in the general population as a normal random variable with mean 100 and standard deviation 15. Find the probability that a randomly selected person's IQ score is between 125 and 130.
Suppose that 5 people are chosen independently at random. What is the probability that the “smartest” of them has IQ score above 120?
How do account for the "smartest" of them? Where do I start?