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A survey shows that about 70% of those over the age of 65 years old are in danger of catching COVID-19. If 15 persons over

A survey shows that about 70% of those over the age of 65 years old are in danger of catching COVID-19. If 15 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 7 are in danger of catching COVID-19?

(b) What is the probability that at most 5 are in danger of catching COVID-19?

(d) What is the probability that at least 5 and at most 7 are in danger of catching COVID-19?

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