Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement. In a national survey of companies, BI Learning Systems reported that 56% of the responding companies named employee retention as a top reason for training. Suppose 38% of the companies replied that they use training for process improvement and for employee retention. In addition, suppose that of the companies that use training for process improvement, 89% use training for employee retention. A company that uses training is randomly selected. a. What is the probability that the company uses training for employee retention and not for process improvement

Sagot :

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