Assume the weight of a randomly chosen American passenger ca

Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 1,557 pounds to 4,665 pounds.

What is the probability that a vehicle will weigh less than 1,946 pounds? (Round your answer to 4 decimal places.)

What is the probability that a vehicle will weigh more than 4,455 pounds? (Round your answer to 4 decimal places.)

What is the probability that a vehicle will weigh between 1,946 and 4,455 pounds? (Round your answer to 4 decimal places.)

Solution

(c) P(X<1,946) = (1946-1557)/(4665-1557 ) =0.1252

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(d) P(X>4455 ) = (4665-4455)/(4665-1557 ) =0.0676

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(e) P(1946 <X< 4455) =(4455-1946)/(4665-1557 ) =0.8073