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
Employees
0
1
2
8
10
29
3 55
4 46
5 26
6
(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.
(Round to three decimal places as needed)

Step 1 ：First, we need to find the total number of employees. We add up the number of employees for each overtime hour: \(3+1+2+8+10+29+55+46+26+6 = 156\).

Step 2 ：Next, we calculate the probability for each overtime hour by dividing the number of employees who worked that many hours by the total number of employees. For example, the probability for 0 hours is \(\frac{3}{156} = 0.019\) (rounded to three decimal places).

Step 3 ：We repeat this process for each overtime hour to complete the probability distribution table.

Step 4 ：For the histogram, we use the overtime hours as the x-axis and the probabilities as the y-axis. Each bar represents an overtime hour, and its height is the corresponding probability.

Step 5 ：The shape of the histogram can be described after it is drawn. If the bars decrease in height as the overtime hours increase, the distribution is right-skewed. If the bars increase in height as the overtime hours increase, the distribution is left-skewed. If the bars form a bell shape, the distribution is symmetric.