3) To be a member of Mensa you must have an IQ in the top 2% of the population. If we use the standard normal distribution to model IQ and use mean of y = 100 and standard deviation of or = 15 the normal distribution function becomes _lx100 2 2 15 1 W'WQ Evaluate the following integral using Simpsons rule with 10 partitions _ l[ x 1 0 0 I115 1 2 15 e 35 l 5 x/ 2 7r This integral will give the percentage of people with an IQ of one standard deviation from the mean (i.e. IQs between 85 and 115 ) . Give answer rounded to 6 decimal places. 2dx 6) In the study of Fourier Series we may need to evaluate an improper integral. OO Evaluate Jo dx 7 2 +x 2