Show work in order to recelve credit in Business,Math, & Applied Technologies Ma

Question

Show work in order to recelve credit in 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 50,021 fomalers had the following results Round your final answers to the nearest ten-thousandth. Mammogram TestHad Breast Cancer Did Not Have Breast Result Cancer 5346 44164 49510 itive 426 44249 50021 Negative511 1. Find the probability that the female had breast cancer. 2. Find the probability that the female had a negative mammogram test result Total 85 3. Find the probability that the female had a negative mammogram test result and had breast cancer. Are the events that a female had a negative mammogram test result and had breast cancer mutually exclusive? Explain. 5. Find the probability that the female had a negative mammogram test result or had breast cancer 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 1:

Probability that women had breast cancer = 511 / 50021 = 0.0102

Therefore 0.0102 is the required probability here.

Question 2:

Probability of a negative result = 44249 / 50021 = 0.8846

Therefore 0.8846 is the required probability here.

Question 3:

Probability that female had breast cancer and negative result = 85 / 50021 = 0.0017

Therefore 0.0017 is the required probability here.

Question 4:

Clearly female having breast cancer and having negative test is a possibility as there are 85 cases that way.

Therefore the 2 events are not mutually exclusive.

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