Question

1

The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
Overtime hours
0
2 3 4 5 6
Employees
8 10 33 53 43 25 19
(a) Construct a probability distribution
(b) Graph the probability distribution using a histogram and describe its shape.
(a) Construct the probability distribution by completing the table below.
1
2
3
4
5
6
P(x)
1
(Round to three decimal places as needed.)

Answer 1

Explained below.

Explanation:

The data provided is for the number of overtime hours worked in one week per employee.

(a)

The probability distribution is as follows:

X Frequency P(X)

0 8 0.042

1 10 0.052

2 33 0.173

3 53 0.277

4 43 0.225

5 25 0.131

6 19 0.099

191 1.000

(b)

Construct the histogram in Excel.

The histogram is approximately symmetric as maximum data is collected in the middle.