I have 3 binomial distribution questions that I am stuck on and need help with.

1. A survey shows that about 20% of those over the age of 65 years old are in danger of catching COVID-19. If 11 persons over the age of 65 are randomly selected (assuming a binomial distribution), answer the following questions: Round all final answers to 3 decimal places and express answers in decimal form (i.e. 0.003 instead of 0.300%)

(a) What is the probabilitiy that exactly 4 have COVID-19? (b) What is the probability that at most 3 have COVID-19? (c) What is the probability that at least 1 has COVID-19? (d) What is the probability that between at least 1 and no more than 4 have COVID-19?

2. A local county has an unemployment rate of 7.6%. A random sample of 19 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places.

a) Find the probability that exactly 2 in the sample are unemployed.

b) Find the probability that there are fewer than 4 in the sample are unemployed.

c)Find the probability that there are more than 3 in the sample are unemployed.

d)Find the probability that there areat most4 in the sample are unemployed.

3. United Airlines' flights from Denver to Dallas are on time 80 % of the time. Suppose 10 flights are randomly selected, and the number on-time flights is recorded. Round answers to 3 significant figures. The probability that exactly 3 flights are on time is = The probability that at most 6 flights are on time is = The probability that at least 5 flights are on time is =