The following joint probability table 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 years old?

U.S. PHYSICIANS IN A RECENT YEAR Age (years) 65 Male .11 .20 19 .07 .08 .04 .12 .16 .78 Gender Female .02 .01 .22 .18 .28 .23 .14 .17 1.00