A local county has an unemployment rate of 7.7%. A random sample of 18 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places.
a) Find the probability that exactly 3 in the sample are unemployed.
b) Find the probability that there are fewer than 3 in the sample are unemployed.
c) Find the probability that there are more than 1 in the sample are unemployed.
d) Find the probability that there are at most 3 in the sample are unemployed.