Respuesta :
Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.
What is a Venn probability?
In a Venn probability, two non-independent events are related to each other, as are their probabilities.
The "or probability" is given by:
[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)[/tex]
In this problem, the events are:
Event A: Brake defect.
Event B: Chain defect.
For the probabilities, we have that:
- The study finds that the probability of a brake defect is 4 percent, P(A) = 0.04.
- The probability of both a brake defect and a chain defect is 1 percent, P(A∩B) = 0.01.
- The probability of a defect with the brakes or the chain is 6 percent, P(A∪B) = 0.06.
Substitute all the values in the formula
[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03[/tex]
0.03 = 3% probability of a chain defect.
Hence, there is a 0.03 = 3% probability of a chain defect.
You can learn more about Venn probabilities at brainly.com/question/25698611
