Question: In a software company, 35% of the employees are women, 80% of the men contribute to the 401K plan, and 17% of all employees do not contribute to the 401K plan. An employee from this firm is selected at random.

[a] Find the probability that the employee is a man and contributes to the 401K plan.

[b] Find the probability that the employee is a woman or contributes to the 401K plan or both.

[c] Find the probability that the employee contributes to the 401K plan given that the employee is a woman.

[d] Find the probability that the employee is a man given that the employee dos not contribute to the 401K plan.

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