Question: Anew, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A

Anew, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 1,000 adults and finds(by othermeans) that 2% have this type of cancer. Each of the 1,000 adults is given thetest, and it is found that the test indicates cancer in 99% of those who have it and in 1% of those who do not. Based on theseresults, what is the probability of a randomly chosen person having cancer given that the test indicatescancer? Of a person having cancer given that the test does not indicatecancer?

  1. Based on theseresults, what is the probability of a randomly chosen person having cancer given that the test indicatescancer?
  2. What is the probability of a person having cancer given that the test does not indicatecancer?

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