A company surveyed employees regading their opinions on the new incentive

program.The company is intested in whether gender has an effect on the preference of

the program. The results shown below.

Opinion Yes No Neutral

Male 124 68 28

Female 108 56 16

(a) What is the probability that a randomly selected worker is female and against the

new program?

(b) What is the probability that a randomly selected worker is in favor of the new

program knowing that the selected worker is male?

(c) Are gender and opinion independent? Justify your answer.