A selected group of employees of Unique Buying Services is to be surveyed with respect to a new pension plan. In depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows.
Classification Event Number of Employees
Supervisors A 120 -
Maintenance B 50 -
Production C 1,460 -
Management D 302 -
Secretarial E 68 -
What is the probability that the first person selected is either in maintenance OR in secretarial?
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A. B. C. D. E.Explanation
There are 2000 employees of which 50 are from maintenance and 68 in secretarial. Therefore (50 + 68)/2000 = 0.059.
To find the probability that the first person selected is either in maintenance or in secretarial, we need to calculate the probability of selecting someone from the maintenance group and the probability of selecting someone from the secretarial group, and then add those probabilities together.
Let's calculate each probability separately:
Probability of selecting someone from the maintenance group: The number of employees in the maintenance group is given as 50. To calculate the probability, we need to divide the number of employees in the maintenance group by the total number of employees.
Total number of employees = 120 + 50 + 1,460 + 302 + 68 = 2,000
Probability of selecting someone from the maintenance group = Number of employees in maintenance group / Total number of employees = 50 / 2,000 = 0.025
Probability of selecting someone from the secretarial group: The number of employees in the secretarial group is given as 68. To calculate the probability, we divide the number of employees in the secretarial group by the total number of employees.
Probability of selecting someone from the secretarial group = Number of employees in secretarial group / Total number of employees = 68 / 2,000 = 0.034
Now, to find the probability that the first person selected is either in maintenance or in secretarial, we add the probabilities together:
Probability = Probability of selecting someone from the maintenance group + Probability of selecting someone from the secretarial group = 0.025 + 0.034 = 0.059
Therefore, the probability that the first person selected is either in maintenance or in secretarial is 0.059.
The correct answer is E. 0.059.