Math  /  Discrete

QuestionThe management of a firm wishes to check on the opinions of its workers. Before the workers are interviewed, they are divided into various categories. Defi vents E, F, and G as shown. Complete parts (a) through (f). EE : Worker is on the night shift. F: Worker has worked more than 3 years. G: Worker contributes to a voluntary retirement plan. (d) Describe the event FF^{\prime} in words.
The worker has worked for \square

Studdy Solution

STEP 1

1. We have three events defined: E E , F F , and G G .
2. Event F F is defined as "Worker has worked more than 3 years."
3. We need to describe the complement of event F F , denoted as F F^{\prime} .

STEP 2

1. Understand the definition of event F F .
2. Determine the complement of event F F .
3. Describe the complement event F F^{\prime} in words.

STEP 3

Event F F is defined as "Worker has worked more than 3 years."

STEP 4

The complement of an event includes all outcomes not in the original event.

STEP 5

Since F F is "Worker has worked more than 3 years," the complement F F^{\prime} is "Worker has worked 3 years or less."
The description of the event F F^{\prime} is:
The worker has worked for 3 years or less\boxed{3 \text{ years or less}}.

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