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A company requires its secretarial employees to demonstrate his/her ability to type more than 45 words per minute in a typing test. The incompetent employees will be terminated. Lucy's typing rate is uniformly distributed between 30 and 50 words per minute.
1. What is the probability that she can type 45 to 50 words per minute in the test?
2. What is the probability that she will be terminated?
(Please show all the calculations, not just the answers)
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