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.
a) What is the mean weight of a randomly chosen vehicle? (Round your answer to the nearest whole number.)
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 1,946 pounds? (Round your answer to 4 decimal places.)
Less than 1,946 pounds
d) What is the probability that a vehicle will weigh more than 4,455 pounds? (Round your answer to 4 decimal places.)
More than 4,455 pounds
e) What is the probability that a vehicle will weigh between 1,946 and 4,455 pounds? (Round your answer to 4 decimal places.)
Between 1,946 and 4,455 pounds