A certain business federation survey contacted 130 small firms. One of the many inquiries was to determine the number of employees the firms had. The accompanying data table contains the responses by the firms. The number of employees was grouped into the following categories: (1) fewer than 20; (2) 2099; (3) 100-499; and (4)1 500 or more. Complete parts a through c below. a. Determine the number of firms in each of these categories. Complete the frequency table below. Category Frequency Employees 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15 16 16 16 16 16 17 17 18 18 18 18 18 18 18 19 19 20 20 21 24 41 48 64 78 79 81 111 138 347 631 fewer than 20 employees 116 2099 employees 10 100499 employees 3 500 or more employees 1 (Type whole numbers.) b. If the business federation contacts of these firms to gather more information, determine the probability that it will choose the following number of firms in each category: (1) 17 , (2) 2, (3) 1, and (4) . The probability is 0.01574. (Round to five decimal places as needed.) c. Calculate the probability that it will choose all of the firms from those businesses with fewer than 20 workers. The probability is
A certain business federation survey contacted 130 small firms. One of the many inquiries was to determine the number of employees the firms had. The accompanying data table contains the responses by the firms. The number of employees was grouped into the following categories: (1) fewer than 20; (2) 2099; (3) 100-499; and (4)1 500 or more. Complete parts a through c below.
a. Determine the number of firms in each of these categories. Complete the frequency table below.
Category
Frequency
Employees
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
4
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
5
5
5
6
6
6
6
6
6
6
6
6
6
6
6
6
6
7
7
7
7
7
7
7
7
7
7
8
8
8
8
9
9
9
9
9
10
10
10
10
10
11
11
11
12
12
12
12
12
12
13
13
13
13
14
14
14
14
15
15
15
15
16
16
16
16
16
17
17
18
18
18
18
18
18
18
19
19
20
20
21
24
41
48
64
78
79
81
111
138
347
631
fewer than 20 employees
116
2099 employees
10
100499 employees
3
500 or more employees
1
(Type whole numbers.)
b. If the business federation contacts of these firms to gather more information, determine the
The probability is
0.01574.
(Round to five decimal places as needed.)
c. Calculate the probability that it will choose all of the firms from those businesses with fewer than 20 workers.
The probability is
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