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Students, visiting the cafeteria, noticed that the diameters of doughnuts in this cafeteria follow a normal distribution with a mean diameter of 3 inches and

Students, visiting the cafeteria, noticed that the diameters of doughnuts in this cafeteria follow a normal distribution with a mean diameter of 3 inches and a standard deviation of 0.2 inches.

a. Find the probability that one lucky student will get a doughnut with diameter larger than 3.3 inches.

b. Find the 85th percentile for the diameters of doughnuts.

Round your answers to the nearest hundredths place.

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