# Uniform probability distribution

The weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,500 pounds to 4,500 pounds.

(a) What is the mean weight of a randomly chosen vehicle?

(b) The standard deviation?

(c) The quartiles?

(d) What is the probability that a vehicle will weigh less than 3,000 pounds?

(e) More than 4,000 pounds?

(f ) Between 3,000 and 4,000 pounds?

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