1. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
   1. A friend of yours claims that her IQ is at least 120. Would you believe her claim? Justify your answer by calculating and interpreting the probability an individual has an IQ greater than 120
   2. What is the probability that an individual has an unusually high IQ? (Hint: remember values that are more than 2 standard deviations above or below the mean are considered to be unusual).
   3. If you randomly selected a professor and asked them for their IQ score, would you be surprised if their IQ was greater than 150? Justify your answer by calculating and interpreting the probability an individual has an IQ greater than 150.
   4. Assume two professors claim to have IQs greater than 140. Would you believe their claim (Hint: calculate the probability an individual has an IQ greater than 140, and then assuming their scores are independent, calculate the probability both have an IQ greater than 140).
   5. Is it correct to assume to calculate the probabilities for professors using the distribution for the general population? Justify your answer.