Статистика Примеры

$P (A) = 0.006$ , $P (B) = 0.2$ , $P (B g i v e n A) = 0.3$

Step 1

Using the Bayes' rule, $P (A | B) = \frac{P (B | A) P (A)}{P (B)}$ .

$P (A | B) = \frac{P (B | A) P (A)}{P (B)}$

Step 2

Substitute the given values $P (A) = 0.006$ , $P (B) = 0.2$ , and $P (B | A) = 0.3$ in Bayes' rule.

$P (A | B) = \frac{(0.3) \cdot (0.006)}{0.2}$

Step 3

Simplify $P (A | B) = \frac{(0.3) \cdot (0.006)}{0.2}$ .

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Step 3.1

Multiply $0.3$ by $0.006$ .

$P (A | B) = \frac{0.0018}{0.2}$

Step 3.2

Divide $0.0018$ by $0.2$ .

$P (A | B) = 0.009$