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
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