Simultaneously 80530

The product has a 10% probability of an appearance defect, a 6% probability of a functional deficiency, and a 3% probability of both defects simultaneously. Are the random events A - the product has an appearance defect and B - the product has a functional defect independent?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} P(A)=0.10 \\ P(B)=0.06 \\ P(A\cap B)=0.03 \\ P(A|B)=P(A\cap B)/P(B)=0.03/0.06=0.5 \\ P(B|A)=P(A\cap B)/P(A)=0.03/0.10=0.3 \\ P(A|B)\ne P(A) \\ P(B|A)\ne P(B) \\ x=0 \end{gathered}$$

Try another example