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.
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?