Answer:
0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement
Step-by-step explanation:
56% employee retention.
38% for process improvement. Of those, 89% for employee retention.
a. What is the probability that the company uses training for employee retention and not for process improvement
The 56% is composed by:
x of 100 - 38 = 72%(not for process improvement)
89% of 38%(for process improvement).
We want to find x. So
[tex]0.72x + 0.89*0.38 = 0.56[/tex]
[tex]0.72x = 0.56 - 0.89*0.38[/tex]
[tex]x = \frac{0.56 - 0.89*0.38}{0.72}[/tex]
[tex]x = 0.3081[/tex]
0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement