1. United Airlines' flights from Boston to Dallas are on time 50 % of the time. Suppose 7 flights are randomly selected, and the number on-time flights is recorded. Round answers to 3 significant figures. a. The probability that exactly 6 flights are on time is = b. The probability that at most 4 flights are on time is = c. The probability that at least 6 flights are on time is =

2. In a large population, 37% of residents have been vaccinated. Suppose a random sample of 20 residents is selected, what is the probability that: Report answers accurate to at least 4 decimal places.

a. none of them is vaccinated?

b. at least one of them is vaccinated?

c. less than 5 of them are vaccinated?

d. less than the expected number of vaccinated residents is found in the sample?