6. The content of a computer file will be permanently lost if all of the following events occur: the file is erased (event E), no backup has been made (event B), and no printed copy exists (event P). (a) If the probability of each of E, B and P is 0.05 and the three events are statistically independent, what is the probability that a file will be permanently lost? (b) Define the event L (" no machine-readable file" ) as true for a file if the file has been erased and no backup has been made. Suppose as before that P(E) = 0.05 but that there is a probability of 0.2 that no backup has been made for an erased file. What is the probability of L? (c) For the situation in (b), are the events E and B independent? (Assume that P(B) = 0.05) (d) Assume the situation in (b) and also that P is independent of L with P(P) = 0.35. What is the conditional probability of the file being permanently lost given that the event L occurs