Question

The management of a fim wishes to check on the opinions of its workers. Before the workers are interviewed, they are divided into various categories. Define events E. F. and G as shown. Complete parts (a) through f).
E: Worker is on the day shift.
f: Worker has worked less than 4 years.
G: Worker contributes to a voluntary retirement plan.
Describe the event E F in words.
A. The worker is on the night shift and has worked for more than 4 years.
B. The worker is on the day shift and has worked for less than 4 years.
C. The worker is on the night shift or has worked for more than 4 years, or both.
D. The worker is on the day shift or has worked for less than 4 years, or both.​

Answer 1

Using logical operators, it is found that:

A. $\neg E \cap \neg F$

B. $E \cap F$

C. $\neg E \cup \neq F$

D. $E \cup F$

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• The logical operator and is defined by symbol $\cap$.
• The logical operator or is defined by symbol $\cup$.
• The logical operator not is defined by symbol $\neg$.
• Event E: Day shift.
• Event F: Less than 4 years.
• Event G: Contributes to the retirement plan.

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• At item a, night shift and worked for more than 4 years, thus events negative E and negative F, that is: $\neg E \cap \neg F$
• At item b, day shift and worked for less than 4 years, thus events E and F, that is, $E \cap F$
• At item c, night shift or more than 4 years, that is, events negative E or negative F, that is: $\neg E \cup \neq F$.
• At idem d, day shift or less than 4 years, that is, E or F, thus $E \cup F$

A similar problem is given at brainly.com/question/23508811