IQ is supposed to Gaussian with a mean of 100 and a standard deviation of 15. At a high-school reunion, where everyone attends, 2 of your classmates out of 40 claim to have IQs greater than 150. What is the probability that 2 or more would have an IQ greater than 140. Represent your solution as an expression of θ=p(IQ>140) and give θ.
HINT: Treat it as a binomial problem after computing p(IQ>140)
NB. You will have a table of Z scores in exam to help with this one