The number of employees who are content with the vacation allowance can be calculated by subtracting the number of employees who expressed a desire for more vacation time from the total number of employees who did not use all of their vacation days last year:
84 - 106 = -22
Since it is not possible to have a negative number of employees who are content with the vacation allowance, we can assume that all employees who did not use all of their vacation days last year are content with the vacation allowance.
Therefore, the probability that a full-time employee chosen at random is content with the vacation allowance is 84/400 = 0.21.
So, the probability is 0.21 or 21/100.
A sample of 400 full-time employees were surveyed on their feelings about their benefits package. 84 of those studied did not use all of their vacation days last year, yet 106 of those studied expressed a desire for more vacation time. Based on this sample, if a full-time employee is chosen at random, what is the probability that he or she is content with the vacation allowance? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
1 answer