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Question 5. (YOU CAN LEARN MORE IN A HIGHER DEGREE) Here are the counts ( in thousands ) of earned degrees in the United States in a recent year, classified by level and by the sex of the degree recipient: Bachelor's Master's Professional Doctorate Female 616 194 30 16 Male 529 171 44 26 Note: Do not write here. There may be rounding error of 10.0005 If you choose a degree receipt at random, what is the probability that the person you choose is a A. Yes. Because P(Woman| Professional) = P(Woman) woman? B. 0.4054 What is the conditional probability that you choose a woman, given that the person chosen (5264 receives a professional degree? What is the conditional probability that you choose a person which receives a professional D. No. Because P(Woman | Professional) = P(Woman) degree, given that you choose a woman? E. 0.0350 Are the events "choose a woman" and "choose a professional degree receipt" independent? F. 0.0350 How do you know? G. Yes. Because P(Woman | Professional) = P(Woman) H. 0.0455 1. No. Because P(Woman| Professional) = P(Woman)3x3 contingency table: Vehicles size Truck Car Others Traffic Red 20 30 44 lights Yellow 10 15 22 Traffic lights signs Green 40 60 89 Note: Do not write here. There may be rounding error of 10.0005 A pedestrian while thinking to cross the intersection noticed that a truck is approaching the A. 0.2857 intersection, what is the conditional probability that the truck will face green light? B. 0.284848 A pedestrian while thinking to cross the intersection noticed that a car is approaching the intersection, what is the conditional probability that the car will face red light? C. 0.5727 - Are event "Vehicle size" and "Traffic light sign" independent? D. Yes. Because P(Vehicle Size | Traffic light singn) * P(Vehicle Size) E. No. Because P(Vehicle Size | Traffic light singn) = P(Vehicle Size) Give your justification. - What is the probability of approaching the "green" light? F. 0.5714 G. 0.318182 H. No. Because P(Vehicle Size | Traffic light singn) * P(Vehicle Size) 1. 0.212121 J. 0.142424 K. Yes. Because P(Vehicle Size | Traffic light singn) = P(Vehicle Size)