At the Heathrow Airport in London, England, an airport administrator believes that the proportion of delayed flights is 0.24 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.