Activity #3 (12 points) Wendy's Drive-Through Times and the Normal Distribution: Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in the drive-through. The faster the cars get through, the more opportunity for making money. QSR Magazine studied drive-through times and found that Wendy's had the best time with a mean time spent in the drive-through of 138.5 seconds. Assume the times are normally distributed with a standard deviation of 25 seconds. a. Use the Empirical Rule (section 3.2, pg 132) to estimate the following intervals of time in seconds it takes for Wendy's drive-through: middle 68%, 95%, and 99.5% (3 points) b. What is the z-score that corresponds to a drive-through time of 145 seconds? Show work and formula. (1 point) c. Find and interpret the probability that a randomly selected car will spend more than 145 seconds in Wendy's drive-through. (2 points) d. Find and interpret the probability that a randomly selected car will spend between two minutes (120 seconds) and three minutes (180 seconds) in Wendy's drive-through. (2 points) e. Would it be unusual to spend one minute or less in Wendy's drive-through? Explain why or why not (remember that unusual is more than 2 standard deviations from the mean). (2 points) f. Determine the 75" percentile for drive-through times at Wendy's. (2 points)