3) Critical Thinking. Raul received a score of 80 in a history test for which the class mean was 70 with a standard deviation 10. He received a score of 75 on a biology test for which the class mean was 70 and with standard deviation 2.5. On which test did he better relative to the rest of the class? Why? Why? 4) A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and a standard deviation of 0.4 ounce. Use the Empirical Rule to answer the following questions: a) Estimate the probability that the machine will overflow an 8-ounce cup: b) Estimate the probability that the machine will not overflow an 8-ounce cup: c) If the machine is loaded with 850 cups; how many of these cups will overflow