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A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with...

A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with minimum of 96 and maximum of 104 cm.

  1. Find the 80th percentile of the length of the rods.
  2. Find the probability a rod is less than 101.4 cm long.
  3. Find the probability a rod is more than 102.5 cm long.
  4. Given that the rod is more than 101 cm, find the probability it is longer than 99 cm.

Given that the rod is more than 101 cm, find the probability it is less than 103 cm.

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