Problem 2 Assume that breast cancer affects .8 percent of the female population between 40 and 50 years of age ...

     Problem 2   Assume that breast cancer affects .8   percent of the female population between 40 and 50 years of age. There are   two kinds of test results: true positive (you have it) and false positive   (the test indicates you do have it, but you really do not). Assume Mammograms   are 90% accurate at spotting people who have breast cancer (true positive),   and are 93% accurate at spotting people who do not (true negative). What are   the false negative and false positive accuracies? If a female tests positive for breast   cancer, compute the likelihood that she indeed has the cancer.    

     Problem 3   A pair of dice is   rolled. The sum of the faces on top is observed. What are the expectation,   variance, and standard deviation of the observed sum?