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A citrus farmer who grows mandarin oranges finds that the diameters of mandarin oranges harvested on his farm follow a normal distribution with a mean diameter of 5.85 cm and a standard deviation of 0.24 cm.  For each of the following, sketch the graph and solve.

1. Find the probability that a randomly selected mandarin orange from this farm has a diameter larger than 6.0 cm.
2. The middle 20% of mandarin oranges from this farm have diameters between ___ and ____.
3. Find the 90th percentile for the diameters of mandarin oranges, and interpret it in a complete sentence.

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