Hi there, please kindly provide a comprehensive solution. The previous tutor from coursehero did the question but he didnt really make it clear for me hence appreciate your clear explanations here. If possible come up with probability TREE or TABLE for my understanding. Many Thanks

A disease has a 6% prevalence in the population. You need to choose between two tests.

If the disease is present, thefirst test will give a positive result with probability 0.90. If the disease is not present, it will give a positive result with probability 0.07. If the disease is present, thesecond test will give a positive result with probability 0.96. If the disease is not present, it will give a positive result with probability 0.10.

1. For each of the tests, what is the probability that someone has the disease given a positive test result?

Answer:

1. The disease is highly contagious, and so those with the disease need to be quarantined. Which testwould you recommend? Explain your reasoning.

Answer: