Question

TriMet is using the joint frequency distribution table below to determine which position has the highest...

TriMet is using the joint frequency distribution table below to determine which position has the highest need for training (i.e., the highest fire-rate within the position). Based on the table below, they implement a new training program for Bus Drivers. Is this the correct decision, why or why not?

Retention Issue -Bus Drivers -Train Drivers -Custodial -TOTAL

Employed for 1+ Year 60 20 5 85

Quit Within 1 Year 25 20 5 50

Fired Within 1 Year 15 10 10 35 TOTAL 100 50 20 170 Group of answer choices No! TriMet needs to compute the joint relative frequency for all categories (including fire-rate) to determine which position and retention issue is most likely to co-occur.

No! TriMet needs to compute the joint relative frequency for all categories (including fire-rate) to determine which position and retention issue is most likely to co-occur.

No! Just because more Bus Drivers were fired overall, does not mean Bus Drivers had the highest fire-rate. There are more Bus Drivers overall, so there are more Bus Drivers in all “Retention Issue” categories.

Yes! 8.8% of Bus Drivers quit, but only 5.9% of Train Drivers and Custodial Employees quit.

Yes! 8.8% of fired employees were Bus Drivers, but only 5.9% of fired employees were Train Drivers and Custodial Employees.

Math   Statistics-And-Probability   
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Answer #1

The decision is Incorrect.

Answer choice:

No! Just because more Bus Drivers were fired overall, does not mean Bus Drivers had the highest fire-rate. There are more Bus Drivers overall, so there are more Bus Drivers in all “Retention Issue” categories.

Explanation :

Bus Drivers Train Drivers Custodial
Employed for 1+ Year 60 25 5
Quit Within 1 Year 25 20 5
Fired Within 1 Year 15 10 10
Total 100 50 20

Highest need for Training criteria : the highest fire-rate within the position

Calculating the fire rate within group:

Fire rate for bus drivers = (15/100)*100 % = 15 %

Fire rate for Train drivers = (10/50)*100 % = 20 %

Fire rate for Custodial = (10/20)*100 % = 50 %

Therefore; according to the criteria Custodial have Highest need for Training.

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