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Survey of Workers The management of a firm wishes to check on the opinions of its assembly line workers. Before the workers are interviewed, they are divided into various categories. Define events E, F, and G as follows.E: worker is femaleF: worker has worked less than 5 yearsG: worker contributes to a voluntary retirement planDescribe each event in words.$$\begin{array}{lll}{\text { a. } E^{\prime}} & {\text { b. } E \cap F} & {\text { c. } E \cup G^{\prime}} \\ {\text { d. } F^{\prime}} & {\text { e. } F \cup G} & {\text { f. } F^{\prime} \cap G^{\prime}}\end{array}$$

(a) $E^{\prime}$ occurs when $E$ does not, so $E^{\prime}$ is the event "worker is male."(b) $E \cap F$ occurs when both $E$ and $F$ occur, so $E \cap F$ is the event "worker is female and hasworked less than 5 years."(c) $E \cup G^{\prime},$ is the event "worker is female or does not contribute to a voluntary retirement plan."(d) $F^{\prime}$ occurs when $F$ does not, so $F^{\prime}$ is the event "worker has worked 5 yr or more."(e) $F \cup G$ occurs when $F$ or $G$ occurs or both, so $F \cup G$ is the event "worker has worked lessthan 5 years or contributes to a voluntary retirement plan."(f) $F^{\prime} \cap G^{\prime}$ occurs when $F$ does not and $G$ does not, so $F^{\prime} \cap G^{\prime}$ is the event "worker has worked 5 yr or more and does not contribute to a voluntary retirement plan."

02:43

Amy J.

Calculus 2 / BC

Chapter 7

Sets and Probability

Section 3

Introduction to Probability

Sequences

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

03:13

Opinion Survey The managem…

03:30

The management of a firm w…

03:19

Work each problem.Opin…

01:51

Medical Survey Refer to Ex…

02:02

A certain company offers a…

00:13

(Exercises 5–12) For each …

00:58

Emily’s employer offers a …

05:00

Sampling senators Refer to…

An online survey by ShareB…

01:44

Personnel Screening A comp…

Hello. So the first one is gonna be a non female worker. Okay. The 2nd 1 is gonna be a few more worker. Oh and has worked less than five years. So we're looking for a female worker Who has to work with less than five years. OK And for c we're looking at the total oh female workers and then workers who do not contribute two voluntary retirement. So there's gonna be I need to add something here. Former workers plus workers. Okay so that's a total of female workers plus workers who do not contribute. Okay to elementary time. So you're just gonna have to put up there for day. There's gonna be a worker who has not worked for less than five years. Okay. So that's for D. For e. It's gonna be the total of workers who have worked less than five years and workers who do not contribute. Oh sorry who contributes, okay who contributes to a voluntary retirement? And the last one is going to be we're looking for A worker who has not worked less than five years and does not contribute to a voluntary retirement. Okay. Thank you very

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