An employment agency survey contacted 130 small firms. One of the many inquiries was to determine the number of employees the firms had. The file titled Employees contains the responses by the firms. The number of employees was grouped into the following categories: (1) fewer than 20; (2) 20–99; (3) 100–499;

and (4) 500 or more.

a. Determine the number of firms in each of these categories.

b. If the agency contacts 25 of these firms to gather more information, determine the probability that it will choose the following number of firms in each category: (1) 22, (2) 2, (3) 1, and (4) 0.

c. Calculate the probability that it will choose all of the firms from those businesses that have fewer than 20 workers.