Final answer:
The probability of an employee at Flagstaff Mall being on flex-time cannot be calculated without additional information. However, we discuss how probabilities change in sample selection without replacement and probabilities related to mean outcomes for groups based on samples.
Step-by-step explanation:
The probability of an employee being on flex-time is not provided in the question, so we cannot directly calculate this probability. However, we can explain how probabilities change in similar situations based on the provided examples.
Example 1:
In the scenario where a manager wants to draw a sample of 30 employees from a workforce of 150 without replacement, the chance of being selected at the beginning is 30 out of 150 (1 out of 5). As the sample is drawn without replacement, each time an employee is selected, the remaining number of employees decreases, which means the chance of being selected increases as the sample size approaches the total number of employees.
Example 2:
For a small company with an average of 20 long-distance calls during peak time, calculating the probability of employees making more than 20 calls would typically involve a distribution model, such as the Poisson distribution, depending on the details of the call behavior.
Example 3:
The probability of 0.7919 that the mean excess time used is more than 20 minutes for a sample indicates the probability of an outcome occurring for a group based on a sample.