In Exercises 3-10, use the following information. In a standardized 10 test, scores were normally distributed, with a mean score of 100 and a standardized deviation of 15. (Adapted from American Scientist) 3. Find the probability that a randomly selected person has an IQ score higher than 125. Is this an unusual event? Explain. 4. Find the probability that a randomly selected person has an 10 score between 95 and 105. Is this an unusual event? Explain. 5. What percent of the IQ scores are greater than 112? 6. Out of 2000 randomly selected people, about how many would you expect to have IQ scores less than 90? 7. What is the lowest score that would still place a person in the top 5% of the scores? 8. What is the highest score that would still place a person in the bottom 10% of the scores? 9. A random sample of 60 people is selected from this population. What is the probability that the mean IQ score of the sample is greater than 105? Interpret the result. 10. Are you more likely to randomly select one person with an 10 score greater than 105 or are you more likely to randomly select a sample of 15 people with a mean 10 score greater than 105? Explain. In Exercises 11 and 12, use the following information. In a survey of U.S. adults, 88% say they are at least somewhat concerned that their personal online data is being used without their knowledge. You randomly select 45 U.S. adults and ask them whether they are at least somewhat concerned that their online data is being used without their knowledge. (Source: Harris Interactive) 11. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. 12. Find the probability that the number of U.S. adults who say they are at least somewhat concerned that their personal online data is being used without their knowledge is (a) at most 35, (b) less than 40, and (c) exactly 43, and (d) identify any unusual events. Explain