The following is a contingency table showing the number of males and females with their educational status. Graduate Post Graduate PhD Total Male 30 20 10 Female 20 X 40 Total 50 Y 15 100 a. What is the probability that a randomly selected person is a graduate? Answer in exact fraction, or rounded to at least 4 decimal places b. What is the probability that a randomly selected person will be male with a postgraduate degree? Answer in exact fraction, or rounded to at least 4 decimal places c. What is the probability that a person is a PhD holder given that the person is male? Answer in exact fraction, or rounded to at least 4 decimal places d. What is the probability that a person will be male given that he is NOT a graduate? Answer in exact fraction, or rounded to at least 4 decimal places

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