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.

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 yearsold?

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U.S. PHYSICIANS IN A RECENT YEAR Age (years) <35 35-44 45-54 55-64 >65 Male 11 .20 91216 78 Female07 .08 04 .02 .01.22 18 .28 .23 .14 17 1.00 Gender