The following probability matrix contains a breakdown on the age and gender of physicians in a large city in a recent year.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 female and 45–54 years old?c. What is the probability that one randomly selected physician is male 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 female if the physician is 45–54 years old?f. What is the probability that a randomly selected physician is neither female nor 55–64 years old?

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Gender PHYSICIANS IN A LARGE CITY Age (Years) 35-44 45-54 55-64 265 0.20 0.19 0.12 0.16 <35 Male 0.11 Female 0.07 0.08 0.78 0.04 0.02 0.01 0.22 0.14 0.17 1.00 0.18 0.28 0.23