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 400 students. What is the probability that 20 or less students do not complete the test in less than an hour? Required: a. Test the conditions necessary to apply the central limit theorem. Are they satisfied? b. Find and interpret the probability in the exercise. Note: Round z-yalue to 2 decimal places and final answer to 4 dlecimal places. 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 400 students. What is the probability that 20 or less students do not complete the test in less than an hour? Required: a. Test the conditions necessary to apply the central limit theorem. Are they satisfied? b. Find and interpret the probability in the exercise. Note: Round z-yalue to 2 decimal places and final answer to 4 dlecimal places