Question

Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 1,670 pounds to 4,888 pounds.

(a) What is the mean weight of a randomly chosen vehicle? (Round your answer to the nearest whole number.)

Answer 1

The mean weight of a randomly chosen vehicle is 3,279 pounds.

Step-by-step explanation:

To find the mean weight of a randomly chosen vehicle, we can use the formula for the mean of a uniformly distributed random variable. The mean is equal to the average of the minimum and maximum values of the variable. In this case, the minimum weight is 1,670 pounds and the maximum weight is 4,888 pounds. So the mean weight would be (1,670 + 4,888) / 2 = 3,279 pounds. Rounded to the nearest whole number, the mean weight of a randomly chosen vehicle would be 3,279 pounds.