Question

Question 26: [4 points]

Answer 1

$P(D/TP) = \frac{P(D \: n \: TP)}{P(TP)}$

$P(TP) = P(TP \: n \: D)+P(TP \: n \: FD) \\ P(TP) = 0.95×0.99 + 0.02×0.01 = 0.9407$

$P(D/TP) = \frac{0.9405}{0.9407} = \frac{9405}{9407}$≈0.999787