# Sampling Distribution

**Question description**

Coal is carried from a mine in West Virginia to a power plant in New
York in hopper cars on a long train. The automatic hopper car loader is
set to put 91 tons of coal into each car. The actual weights of coal
loaded into each car are normally distributed, with mean μ=91 tons and standard deviation σ=3 ton.

A) What is the probability that one car chosen at random will have less than 89.5 tons of coal?

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