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4. The average prison sentence for a person convicted of petty theft is 15 years. If the sentences are normally distributed with a standard deviation

4. The average prison sentence for a person convicted of petty theft is 15 years. If the sentences are normally distributed with a standard deviation of 2.1 years, find these probabilities: please show all work.

a. A prison sentence is greater than 18 years.

b. A random sample of 20 prison sentences is less than 14.6 years.

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