The following table shows the sentiments of 2500 wage-earnings employees at the Spruce Company on proposal to emphasize fringe benefits rather than wage increases during their impending contract discussions.
Opinion
Employee Favor Neutral Opposed Total
Male 800 200 500 1500
Female 400 100 500 1000
Total 1200 300 1000 2500
A. Calculate the probability that an employee selected at random from this group will be opposed.
B. Calculate the probability that an employee selected at random from this group will be female.
C. Calculate the probability that an employee selected at random from this group will be opposed, given that the person is male.
D. Are the events "opposed" and "female" independent? Explain.