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