# Random

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If we choose a person at random from this database:

i. What is the probability that this person will be female?

ii. What is the probability that this person will be between 22 and 49 years old?

iii. What is the probability that their overall job satisfaction is 4.7 or lower?

b ) If we choose a person at random from this database:

i. What is the probability that this person will be a male in the information technology department?

ii. What is the probability that this person will be an hourly employee whose intrinsic satisfaction is 6 or more?

c ) We think that employees who are 21 years old and younger are "inexperienced" because they haven't worked for that long. We also think that employees who have been with the company for less than 2 years are "inexperienced" because they aren't familiar with how the company does things.

i. If we choose a person at random from this database, what is the probability that this person is "inexperienced"?

ii. If we think that employees who are either 50 or older, or who have more than 5 years with the company are "experienced", then what is the probability that a random person chosen from this database is "experienced"?

iii. Calculate the correlation between age and tenure with the company. Explain your results.

d ) Given that our employee chosen at random is an hourly employee,

i. What is the chance that this person is in administration?

ii. What is the chance that this person is either female or has an extrinsic job satisfaction of 4 or less?

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##### Solution Summary

If we choose a person at random from this database:

i. What is the probability that this person will be female?

ii. What is the probability that this person will be between 22 and 49 years old?

iii. What is the probability that their overall job satisfaction is 4.7 or lower?

b ) If we choose a person at random from this database:

i. What is the probability that this person will be a male in the information technology department?

ii. What is the probability that this person will be an hourly employee whose intrinsic satisfaction is 6 or more?

c ) We think that employees who are 21 years old and younger are "inexperienced" because they haven't worked for that long. We also think that employees who have been with the company for less than 2 years are "inexperienced" because they aren't familiar with how the company does things.

i. If we choose a person at random from this database, what is the probability that this person is "inexperienced"?

ii. If we think that employees who are either 50 or older, or who have more than 5 years with the company are "experienced", then what is the probability that a random person chosen from this database is "experienced"?

iii. Calculate the correlation between age and tenure with the company. Explain your results.

d ) Given that our employee chosen at random is an hourly employee,

i. What is the chance that this person is in administration?

ii. What is the chance that this person is either female or has an extrinsic job satisfaction of 4 or less?

##### Solution Preview

If we choose a person at random from this database:

i. What is the probability that this person will be female?

There are 168 females out of the 288 observations

Thus, the probability that this person will be female is P = 168 / 288 = 58.3%

ii. What is the probability that this person will be between 22 and 49 years old?

There are 194 aged between 22 and 49 (in age category 2) out of the 288 observations

Thus, the probability is P = 194 / 288 = 67.4%

iii. What is the probability that their overall job satisfaction is 4.7 or lower?

There are 172 people whose "overall" is 4.7 or lower out of the 288 observations

Thus, the probability is P = 172 / 288 = 59.7%

b ) If we choose a person at random from this database:

i. What is the probability that this person will be a male in the information technology department?

There are 29 people whose ...

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