Question

The table shows the political affiliations and types of jobs for workers in a particular state. Suppose a worker is selected at random within the state and the worker's political affiliation and type of job are noted. Political Affiliation Given that the worker is a Democrat, what is the probability that the worker has a white collar job.

Answer 1

approximately equal to 19%.

Explanation:

The probability that a worker who is a Democrat has a white collar job is 19%.

This can be calculated using the following formula:

```

P(White collar | Democrat) = P(White collar and Democrat) / P(Democrat)

```

P(White collar and Democrat) is the number of workers who are both Democrats and have white collar jobs, divided by the total number of workers. This is equal to 19.

P(Democrat) is the number of workers who are Democrats, divided by the total number of workers. This is equal to 29.

Therefore, the probability that a worker who is a Democrat has a white collar job is:

```

P(White collar | Democrat) = 19 / 29 = 0.655

```

This is approximately equal to 19%.