F . l. Aaron's height, when compared to other males his age, has a standardized z-score of 0.48. ' a.\" Is Aaron taller or shorter than the average male his age? Explain. (3pm) b. What proportion of males his'age is Aaron shorter than? (5pts) 2. Kendal is taking a multiple choice exam in alanguage she doesn't read or speak. There are - 14 questions and each question has choices A, B, C, D, and E to choose from. Kendal's only option is to guess. Let X represent the number of correct guesses; a. Does X represent a discreteor continuous variable? How many values are passible for X. (3pts) b. 'Find the probability Kendal guesses correctly on the fth question. (3pts) c. Find the probability Kendal guesses correctly on exactly half of the questions. (5pts) 3. The weekly salary of teachers in one state is normally distributed with a mean of $945 and a standard deviation of $68. a. What is the probability that a randomly selected teacher earns between $800 and $900 per week? (opts) b. What is the weekly salary that determines the top earning 6% of teachers? hound your answer to the nearest cent. (6pts) 4. The student enrollment at a local university is 52% female. Answer the $110ng questions based On a sample of 30 students. a. What is the probability that 17 of the students are female? (Spts) b. What is the probability that at most 14 students are female? (6pts) "5 c. What is the probability that more than 20 students are female? (6pts)