The data in the following table represent the proportion of Americans 25 years of age or older at various levels of educational attainment in 2013.

If we let M represent the event that a randomly selected American who is 25 years of age or older is male, we can also obtain the following probabilities from the Census Bureau data.

(a) What is the probability that a randomly selected American 25 years of age or older is male?

(b) What is the probability that an American male 25 years of age or older has an advanced degree?

(c) What is the probability that an American male 25 years of age or older is not a high school graduate?

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Level Event Proportion Not a high school graduate A1 0.118 High school graduate A2 0.298 Some college, no degree A3 0.168 Associate's degree A4 0.099 Bachelor's degree A5 0.201 Advanced degree A6 0.116