L The completion time {in minutes] for a student to complete a short quiz follows the pmbability density function shown here, with some areas calculated. a. Find the probability that a student completes the Him in 4 minutes or less. b. Find the probability that a student needs between E and 1D minutes to finish the quiz. c. If the instructor allows 111] minutes for the quiz and the class has all] students, how many students will run out of time before the quiz is finished?I d. Find the 66th percendle of the distribution. 2. Annual rainfall in a Bay Area city follows a Normal distribution with u=18 inches and o =6. Use the Normal and Inverse Normal Calculators under Module 6 to Answer these questions a. Find and shade the probability of 30 or more inches of rain in a randomly selected year. b. Find and shade the probability of less than 15 inches of rain in a randomly selected year. C. Find and shade the probability of between 15 and 25 inches of rain in a randomly selected year. d. Find and graph the 95th percentile of rainfall in a randomly selected year. e. Find and graph the Interquartile range.e. Find and graph the Interquartile range. f. Using the Empirical Rule, between what two numbers would you expect to find the annual rainfall 95% of the time