Q:

A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?(1) 130 of the company's employees do not have a college degree(2) 125 of the company's employees are men

Accepted Solution

A:
Answer:a) 125 < 128b) 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 = 255If 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< 128a) 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= 125Therefore; 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)