The following probability matrix contains a breakdown of the age and gender of general practitioners working in Australia.

What is the probability that one randomly selected general practitioner:(a) is 35?44 years old(b) is both female and 45?54 years old(c) is male or is 35?44 years old(d) is less than 35 years old or more than 54 years old(e) is female if they are 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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Age (years) Gender 45-54 Total <35 35-44 >54 0.036 0.129 0.122 0.251 0.261 0.074 0.335 Male Female Total 0.620 0.380 1.000 0.194 0.054 0.090 0.130 0.324