A report indicated the average number of days it takes for an American company to fill a job vacancy is 48 days. Sample data similar to those used in the study are in a file titled Hired. Categories for the days and hire cost are provided under the headings “Time” and

“Cost,” respectively.

a. Calculate the probability that a company vacancy took at most 100 days or cost at most $4,000 to fill.

b. Of the vacancies that took at most 100 days to fill, calculate the probability that the cost was at most

$4,000.

c. If three of the vacancies were chosen at random, calculate the probability that two of the vacancies cost at most $4,000 to fill.