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The weight of people in a small town in Missouri is known to be normally distributed with a mean of 187 pounds and a standard deviation of 29 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,400 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,400 pounds? (You may find it useful to reference the z table. Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

probability:__________________________

A small hair salon in Denver, Colorado, averages about 22 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a \$2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 27. [You may find it useful to reference the z table.]

What is the probability to get a sample average of 27 or more customers if the manager had not offered the discount? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

probability:__________________________