91影视

The table is made up of the following components:

$Probability\left(p\right)=\frac{Numberoffavourable}{Totalnumberofexhaustive}$

$240$of the $250$patients with the disease were accurately recognised by technicians. They also recognised $50$healthy people as having the disease, therefore the test's false positive (FP) and false negative (FN) rates can be estimated as follows:

$P\left(FP\right)=\frac{50}{750}=0.0667\%=6.67\%$

$P\left(FN\right)=\frac{10}{750}=0.0400=4.00\%$

As a result, the needed rates are 6.67% and 4%, respectively.

Given a positive test result, the likelihood that the selected patient has the medical condition can be computed as follows:

$P\left(positivetest\right)=\frac{240+50}{1000}=0.290$

$P\left(Incorrectandpositive\right)=\frac{240}{1000}=0.240$

$P\left(Incorrectidentifyandpositivetest\right)=\frac{0.240}{0.290}=82.76\%$

As a result, $0.8276$ is the required probability.