Question: According to the data released by the Chamber of Commerce of a certain city, the weekly wages of office workers are normally distributed with a mean of $700 and a standard deviation of $50.

1. What is the probability that a worker who lives in the city, selected at random, makes a weekly wage of less than $600?
2. What is the probability that a worker who lives in the city, selected at random, makes a weekly wage of more than $810?
3. What is the probability that a worker who lives in the city, selected at random, makes a weekly wage of between $620 and $770?
4. What is the weekly wage to the nearest dollar, of an earner who falls at the 95 th percentile?
5. What is the maximum weekly wage to the nearest dollar, of a worker who falls in the lowest 5% of wages?

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