A local county has an unemployment rate of 4.6%. A random sample of 15 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 2 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 most2 in the sample are unemployed.