Suppose that scores on an exam are normally distributed with mean 76 and standard deviation 8. a. (4 points) What is the probability of obtaining a score less than 707 Show your work! b. (4 points) What is the probability of obtaining a score between 70 and 88? Show your work! c. (4 points) What score separates the top 5% scores from the rest of the distribution? Show your work! d. (6 points) 10 students are randomly selected. Let & denote the average of their test scores. What is the mean. standard deviation, and distribution of the sample mean score & of those 10 students? e. (4 points) What is the probability that & is less than 70? Show your work