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The weight of the load carried by a small cargo truck is 2050 pounds with a...

The weight of the load carried by a small cargo truck is 2050 pounds with a variance of 12,100 pounds 2. The total charge is known to follow a Normal distribution.

A truck is fined if it weighs more than 2,250 pounds.

What is the probability that a truck will receive an overweight fine?

What weight must a truck carry to be in the 80th percentile?

What is the probability that the actual truck weight is between 2,000 and 2,200 pounds?  

A sample of 25 trucks is taken. What is the probability that the sample average is between 2,000 and 2,100 pounds?

math   Statistics-And-Probability   
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