A professor writes a statistics test and estimates that 90% of test takers will complete the test in 1 hour or less. She gives the test to a class of 120 students. What is the probability that 6 or less students do not complete the test in less than an hour? Required: Test the conditions necessary to apply the central limit theorem. Are they satisfied? Find and interpret the probability in the exercise. Note: Round z-value to 2 decimal places and final answer to 4 decimal places. At the Heathrow Airport in London, England, an airport administrator believes that the proportion of delayed flights is 0.31 per day. What is the probability of selecting a sample of 50 flights on a particular day and finding the proportion is more than 0.40? Required: Test the conditions necessary to apply the central limit theorem. Are they satisfied? Find and interpret the probability in the exercise. Note: Round z-value to 2 decimal places and final answer to 4 decimal places