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1.) Standardized IQ test scores are normally distributed with a sample mean of 100 and a sample population of 15. Find the following: [Show all work for credit] a.) Find the probability that a randomly selected person has an IQ higher than 117. b.) Out of 2000 randomly selected people, about how many would you expect to have a score lower than 93? c.) What is the lowest score that would still place a person in the top 5% of the scores? Now assume from past studies of IQ scores that the population standard deviation was calculated to be 14.8. Remember the population mean and sample mean are the same. d.) Construct an 80% confidence interval around the population mean. e.) Construct a 96% confidence interval around the population mean