10. IQ Some IQ tests are standardized to a Normal model, with a mean of 100 and a standard deviation of 15. a) Draw the model for these IQ scores. Clearly label it, show- ing what the 68-95-99.7 Rule predicts. b) In what interval would you expect the central 95% of IQ scores to be found? c) About what percent of people should have IQ scores above 115? d) About what percent of people should have IQ scores between 70 and 85? e) About what percent of people should have IQ scores above 130?14. IQs revisited Based on the Normal model (100, 15) describing IQ scores, what percent of people's IQs would you expect to be a) over 80? b) under 90? c) between 112 and 132?50. More IQs In the Normal model M(100, 15) from Exercise 10, what cutoff value bounds a) the highest 5% of all IQs? b) the lowest 30% of the IQs? c) the middle 80% of the IQs?54. Tires A tire manufacturer believes that the treadlife of its snow tires can be described by a Normal model with a mean of 32,000 miles and standard deviation of 2500 miles. a) If you buy one of these tires, would it be reasonable for you to hope it will last 40,000 miles? Explain