Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their current employer.† Consider the following example of sample data of 2000 college graduates who graduated five years ago. Time with Current Employer (years) Number 1 504 2 392 3 312 4 220 5 572 Let x be the random variable indicating the number of years the respondent has worked for her/his current employer. (a) Use the data to develop an empirical discrete probability distribution for x. x f(x) 1 2 3 4 5 (b) Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. Since f(x) 0 for all values of x and f(x) = , this satisfy the conditions for a valid discrete probability distribution. (c) What is the probability that a respondent has been at her/his current place of employment for more than 3 years?
Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their current employer.† Consider the following example of sample data of 2000 college graduates who graduated five years ago. Time with Current Employer (years) Number 1 504 2 392 3 312 4 220 5 572 Let x be the random variable indicating the number of years the respondent has worked for her/his current employer. (a) Use the data to develop an empirical discrete probability distribution for x. x f(x) 1 2 3 4 5 (b) Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. Since f(x) 0 for all values of x and f(x) = , this satisfy the conditions for a valid discrete probability distribution. (c) What is the probability that a respondent has been at her/his current place of employment for more than 3 years?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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5. Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their current employer.† Consider the following example of sample data of 2000 college graduates who graduated five years ago.
| Time with Current Employer (years) |
Number |
|---|---|
| 1 | 504 |
| 2 | 392 |
| 3 | 312 |
| 4 | 220 |
| 5 | 572 |
Let x be the random variable indicating the number of years the respondent has worked for her/his current employer.
(a)
Use the data to develop an empirical discrete probability distribution for x.
| x | f(x) |
|---|---|
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 |
(b)
Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
Since
f(x) = ,
this satisfy the conditions for a valid discrete probability distribution.
f(x) 0
for all values of x and
(c)
What is the probability that a respondent has been at her/his current place of employment for more than 3 years?
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