It is estimated that aproximately 8.36% Americans are afflicted with Diabetes . Suppose that a ceratin diagnostic evaluation for diabetes will correctly diagnose 94.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 2% of all adults over 40 without diabetes as having the disease . 1- Find the probability that a randamly selected adult over 40 doesn't have diabetes and is diagnosed as having diabetes ( such diagnoses are called "false positives") = 2-find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes .= 3- Find the probability that a randomly selected adult over 40 actually has diabetes , given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives")= Note: It will be helpful to first draw an appropriate tree diagram modeling the situation )
It is estimated that aproximately 8.36% Americans are afflicted with Diabetes .
Suppose that a ceratin diagnostic evaluation for diabetes will correctly diagnose 94.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 2% of all adults over 40 without diabetes as having the disease .
1- Find the
2-find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes .=
3- Find the probability that a randomly selected adult over 40 actually has diabetes , given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives")=
Note: It will be helpful to first draw an appropriate tree diagram modeling the situation )
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