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Can you please help me to solve number 1,2 and 3 and can you show your complete solution so that I can review your answer

Can you please help me to solve number 1,2 and 3 and can you show your complete solution so that I can review your answer Thank you

  1. A number is selected at random from 1 to 100. Given that the number selected is divisible by 2, find the probability that it is divisible by 3 or 5
  2. Given the following statistics what is the probability that a woman has cancer if she has a positive mammogram result? 1. Three percent of women over 60 have breast cancer. 2. Ninety percent of women who have breast cancer test positive on mammograms. 3. Five percent of women will have false positives.
  3. Suppose that a laboratory test to detect a certain disease has the following statistics: Let A= event that the tested person has the disease and B= event that the test result is positive. It is also known P(B|A)-0.99 and P(B|A')= 0.005, and 0.1% of the population has the disease what is the probability that a person has the disease given that the test result is positive?

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