Answer:
a) 125 < 128
b) The maximum probability that all 130 women are with college degree is 130 < 128 (this is not possible)
The minimum probability that none of the 130 women are college holders = 0 < 128 (this is possible)
Step-by-step explanation:
Total number of employees = 255
If the probability is less than 1/2 that the employee selected will be a woman who has college degree, we have
Women with college degree < 255/2
< 128
a) if 130 of the company employee do not have college degree, we consider that all the college degree holders are women.
The women with college degree = 255 - 130
= 125
Therefore; 125 < 128 ( this is possible)
b) If 125 of the company employees are men, the number of women = 250 -125
= 130 women
The maximum probability that all 130 women are with college degree is 130 < 128 (this is not possible)
The minimum probability that none of the 130 women are college holders = 0 < 128 (this is possible)