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A worker earns $16 per hour at a plant and is told that only 5% of all workers make a higher wage. The wage is

A worker earns $16 per hour at a plant and is told that only 5% of all workers make a higher wage. The wage is assumed to be normally distributed with the standard deviation of $5 per hour.

a. What is the average wage for the plant workers per hour?

b. If a worker is selected at random, what is the probability that he/she earns at most $10 per hour?

c. If two workers are selected at random, what is the probability that both earn at most $10 per hour?

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