Question

Q3) In a factory there are two types of damages. It is found that 6% of damages are due to transformer damage, 7% are due to line damage and 2% involve both problems.
(a) Are the two types of damages independent or not? Justify your answer.
b) What is the probability that:
i- line damage given that there is transformer damage.
ii- Transformer damage but not line damage.
iii- Transformer damage given that there is no line damage.
iv- Neither transformer damage nor there is no line damage.
v- Either transformer damage or there is no line damage

Answer 1

In a factory there are two types of damages. It is found that 6% of damages are due to transformer damage, 7% are due to line damage and 2% involve both problems.

(a) Are the two types of damages independent or not? Justify your answer.

Step-by-step explanation:

a) Are the two types of damages independent or not? Justify your answer.

The two types of damages are independent. They are thus not mutually exclusive. These events can occur at the same time. Line damage can thus occur at the same time as transformer damage. 2% of these problems are due to both kinds of damages.