A survey shows that about 70% of those over the age of 65 years old are in danger of catching COVID-19. If 9 persons over the age of 65 are randomly selected (assuming a binomial distribution), answer...

A survey shows that about 70% of those over the age of 65 years old are in danger of catching COVID-19. If 9 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 4 have COVID-19?


(b) What is the probability that at most 7 have COVID-19?


(c) What is the probability that at least 8 have COVID-19?


(d) What is the probability that between 1 and 4 have COVID-19?