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Assume 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? Mean weight

(b) What is the standard deviation of a randomly chosen vehicle? (Round your answer to 4 decimal places.)

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

Less than 3,000 pounds
(d) What is the probability that a vehicle will weigh more than 4,000 pounds?

More than 4,000 pounds
(e) What is the probability that a vehicle will weigh between 3,000 and 4,000 pounds?

Between 3,000 and 4,000 pounds

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