To find the probability that a randomly selected U.S. worker was not employed in either Wholesale Trade or the Federal Government, we can follow these steps:
### Step-by-Step Solution:
1. Identify the Total Number of Nonfarm Employees:
The total number of nonfarm employees is given as 137,147,000.
2. Identify the Number of Employees in Wholesale Trade:
The number of employees in Wholesale Trade is 5,803,700.
3. Identify the Number of Employees in the Federal Government:
The number of employees in the Federal Government is 2,705,000.
4. Calculate the Total Number of Employees in Both Wholesale Trade and Federal Government:
Add the number of employees in Wholesale Trade and the Federal Government:
[tex]\[
5,803,700 + 2,705,000 = 8,508,700
\][/tex]
5. Calculate the Number of Employees Not in Wholesale Trade or Federal Government:
Subtract the number of employees in Wholesale Trade and Federal Government from the total number of nonfarm employees:
[tex]\[
137,147,000 - 8,508,700 = 128,638,300
\][/tex]
6. Calculate the Probability:
Divide the number of employees not in Wholesale Trade or Federal Government by the total number of nonfarm employees:
[tex]\[
\text{Probability} = \frac{128,638,300}{137,147,000}
\][/tex]
Convert the fraction to a decimal:
[tex]\[
\frac{128,638,300}{137,147,000} \approx 0.937959
\][/tex]
Therefore, the probability that a randomly selected U.S. worker was not in either Wholesale Trade or Federal Government is approximately [tex]\(0.937959\)[/tex], or 93.796%.
