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A factory has two production lines A and B. production line A works 7 days a week, production line B works only 5 days a week. Production line A produces 5000 items each day where 82% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 60% of the produced items are high quality, 12% medium quality, and the rest are of low quality. All items produced after working for many weeks are accumulated in a warehouse. What is the probability that a medium quality item is produced? [The answer should be a number rounded to five decimal places, don't use symbols such as %]

Let fx(c) be the probability density function of the random variable X. 0 <r <7; otherwise. { 2 C 49 Find the mode of the distribution of X. [The answer should be a number rounded to five decimal places, don't use symbols such as %]