The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).

Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5

Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?

Respuesta :

Based on the circumstances of the 100 workers and their union membership, the probabilities are:

  • Probability of worker finding new job in same field and is in union = 0.583.
  • Probability that union worker has not been employed for a year = 0.033.

What is the probability of the a new job with a union member?

Number of people with jobs in new companies:

= 14 + 10

= 24

There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24

= 0.583

What is the probability that a union worker has been unemployed?

The number of people in a Union is:
= 39 + 14 + 6 + 2

= 61 people

Number of union people that have been unemployed is 2.

The probability here is therefore:

= 2 / 61

= 0.033.

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