11. Researchers at Stanford University have created an artificial intelligence a

Question

11. Researchers at Stanford University have created an artificial intelligence algorithm that can tell if a spot is a cancerous melanoma by analyzing a picture of your skin lesion. The test is 91% accurate. In the testing phase, 380 images were analyzed, and 5% of all skin malignances are cancerous melanomas a. Complete the following table based on the information given above. (4 points) Tests Positive Tests Negative Total Has skin cancer Does Not Total 380 Based on the information in the table above, if someone received a positive test, what is the probability that she has skin cancer? b. 3 points) If you rece appropriate mathematics. ived a positive test what would you do? Explain your answer in a complete sentence using (3 points) c.

Explanation / Answer

a.

5% has cancer from the 380 analysis.

so, 380*0.05 = 19 persons have cancer.

91% accurate.

number of persons having cancer and tests positive is = 19*0.91 = 17

number of person does not have cancer is 380-19 = 361

number of persons does not have cancer and tests negative is 361*0.91 = 329

b. total number of persons having test positive is 19.

the number of person having cancer and tests positive is 17.

P [ the person has skin cancer if she tests positive ] = 17/19

tests positive tests negative total has skin cancer 17 32 49 does not 2 329 331 total 19 361 380

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