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Question: The following probability matrix contains a breakdown on the age and gender of U.S. physicians in a recent year, as reported by the American Medical Association.

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a. What is the probability that one randomly selected physician is 35-44 years old?

b. What is the probability that one randomly selected physician is both a woman and 45-54 years old?

c. What is the probability that one randomly selected physician is a man or is 35-44 years old?

d. What is the probability that one randomly selected physician is less than 35 years old or 55-64 years old?

e. What is the probability that one randomly selected physician is a woman if she is 45-54 years old?

f. What is the probability that a randomly selected physician is neither a woman nor 55-64 years old?

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