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A citrus farmer grows mandarin oranges finds that the diameters of mandarin oranges harvested on his...

A citrus farmer 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 0.24cm.

1. Find the probability that a random selected mandarin orange from this farm has a diameter larger than 6.0 cm.

2. Find the probability that a random selected mandarin orange from this farm has a diameter smaller than 5.5 cm.

3. What diameter separates the 5 % of a mandarin oranges that are larger than the rest ?

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