The following joint probability table contains a breakdown on the age and gender
ID: 3056844 • Letter: T
Question
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. U.S. PHYSICIANS IN A RECENT YEAR Age (Years) 35 35-44 45-54 55-64 65 Gender 0.22 0.18 0.25 0.26 0.12 0.19 .00 a. What is the probablity that one randomly selected physician is 35-44 years old? (Round your answer to 2 decimal places.) b. What is the probability that one randomly selected physician is both a woman and 45-54 years old? (Round your answer to 2 decimal places.) c. What is the probability that one randomly selected physician is a man or is 35-44 years old? (Round your answer to 2 decimal places.) d. What is the probability that one randomly selected physician is less than 35 years old or 55-64 years old? (Round your answer to 2 decimal places.) e. What is the probablity that one randomly selected physician is a woman if she is 45-54 years old? (Round your answer to 4 decimal places.) f. What is the probability that a randomly selected physician is neither a woman nor 55-64 years old?(Round your answer to 2 decimal places)Explanation / Answer
a) P(35-44) = 0.25
b) P(W and 45-54) = 0.07
c) P(M or 35-44) = P(M) + P(35-44) - P(M and 35-44) = 0.78+ 0.25- 0.2 =0.83
d) P( <35 or 55-+64)= P(<35) = P(55-64)= 0.18 + 0.12 = 0.3
e) P( Women | 45-54) = P( Women and 45-54) / P(45-54) = 0.07/ 0.26= 0.269231
f) P(now W and not 55-64) = P( M and <35) + P( M and 35-44) + P( M and 45-54) + P(M and >65)= 0.11+0.2+0.19+0.18= 0.68
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.