Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,966 pounds to 4,063 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 3,131 pounds?(Round your answer to 4 decimal places.)

Less than 3,131 pounds

(d)What is the probability that a vehicle will weigh more than 3,984 pounds?(Round your answer to 4 decimal places.)

More than 3,984 pounds

(e)What is the probability that a vehicle will weigh between 3,131 and 3,984 pounds?(Round your answer to 4 decimal places.)