Researchers asked three types of engineers what their favorite subject was in middle school. The engineers were either Electrical, Chemical, or Mechanical engineers. The subjects were math and science. The results are below. Write your answers to two decimal places. Math Science Total Electrical 85 90 175 Chemical 80 91 171 Mechanical 89 81 170 Total 254 262 516 a. What is the probability that a Mechanical engineer chose science as their favorite subject? b. What is the probability that a person who chose math as their favorite subject is a Chemical engineer? 4. (6 points) A movie streaming service takes a random sample of 100 orders in one day. They find that 34% of the orders are for action movies. a. Identify the population, the sample, and the statistic being reported. b. Would this be an observational study or an experiment? Why?