Show work in order to receive credit. Cuyahoga Community College, Eastern Campus
ID: 2946839 • Letter: S
Question
Show work in order to receive credit. Cuyahoga Community College, Eastern Campus Business, Math, & Applied Technologies Math 1410-Exam 3 Summer 2018 Full Term Session Use this information to answer the first 9 questions. Suppose a large study of S0 had the following results Round your final answers to the nearest ten-thousandth. ,021 females Mammogram Test Had Breast Cancer Did Not Have Breast Tota Result Positive Total 1. Find the probability that the female had breast cancer. Cancer 5346 44164 49510 426 85 511 Negative 44249 50021 Themofablint that wonen had breast Concer2511/Sao 2. Find the probability that the female had a negative mammogram test result. 0.002 Proba bilitt o a negaurive resvir 44241/5ooal- 0.8116 Find the probability that the female had a negative mammogram test result and had breast cancer 3. robabilty thar Female had breasr canter and negarive roult sook Clearty Female brest caver and having veti ca tessiuitiy a 5. Find the probability that the female had a negative mammogram test result or had breast cancer 0-01) 4. Are the events that a female had a negative mammogram test result and had breast cancer mutually exclusive? Explain. there are 35 cases hat way There fore the two events are not nutvaly excluivt 6. Find the probability that the female had a positive mammogram test result knowing she had breast cancer. 7. Find the probability that the female had a negative mammogram test result given that she did not have breast cancer 8. Compare the probabilities from problems 6 and 7. Which would be more important to the female? Explain.Explanation / Answer
Question 5:
Probability that the female had a negative test result or had breast cancer is computed here as:
= (44249 + 511 - 85) / 50021
= 0.8931
Therefore 0.8931 is the required probability here.
Question 6:
Probability that the female had a positive test result given that she had breast cancer is computed here as:
= 426/511
= 0.8337
Therefore 0.8337 is the required probability here.
Question 7:
Probability that the female had a negative test result given that she did not have breast cancer is computed here as:
= 44164 / 49510
= 0.8920
Therefore 0.8920 is the required probability here.
Question 8:
The probability that would be more important to female would be the first one, where the female had breast cancer and it is tested positive because a negative diagonosis for a female with breast cancer could be fatal.
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