Question

The weight of the load carrying a small cargo truck is 2050 pounds with a variance of 12100 lbs 2. The total load is known to follow a Normal distribution.

A. A truck gets a fine if it carries a weight greater than 2225 pounds. What is the probability that a truck will receive a fine over weight? (10 pts)

B. What weight should a truck take to be at the 90 percent percentile? (10 pts)

C. What is the probability that the actual truck weight is between 2030 and 2180 lbs? (10 pts)

D. If a weight-recording balance is used at 1 lb accuracy, what is the probability that the recorded weight is between 1990 and 2015 pounds inclusive? (10 pts)

E. What is the probability that the actual weight of a truck is 2100 pounds? (5 pts)

F. A sample of 25 trucks is taken, what is the probability that the sample average is between 2010 and 2090 pounds? (15 pts)

Answer 1