A survey shows that about 80% of those over the age of 65 years old are in danger of catching COVID-19. If 25 persons over the age of 65 are randomly selected (assuming a binomial distribution), answer the following questions: Round all final answers to 4 decimal places and express answers in decimal form (i.e. 0.0003 instead of 0.0300%) (a) What is the probabilitiy that exactly 17 are in danger of catching COVID-19? (b) What is the probability that at most 19 are in danger of catching COVID-19? (c) What is the probability that at least 16 are in danger of catching COVID-19? (d) What is the probability that at least 10 and at most 14 are in danger of catching COVID-19